Introduction to Fractions
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About these worksheets
These worksheets introduce the concept of fractions from the ground up. Activities include naming fractions from words and pictures, writing fractions from visual models, identifying correct fraction representations, partitioning shapes into equal parts, determining whether fractions equal zero, one-half, or one whole, examining fraction values between whole numbers, comparing relative fraction sizes, finding reciprocals, and expressing fractions in words and numbers. Resources span first through fifth grade.
- Understand that the size a fraction represents, depends on the items it is comparing.
- Find the reciprocal of a fraction by swapping the numerator and denominator.
- Use reciprocals to make a multiplication equation equal 1.
- Recognize that a number and its reciprocal are multiplicative inverses.
- Find the missing fraction that completes a whole when one part is given.
- Add fractions with the same denominator to make a total of 1.
Adding & Subtracting Fractions
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About these worksheets
These worksheets provide comprehensive practice with fraction addition and subtraction. Topics include adding and subtracting with same and different denominators, working with mixed numbers and improper fractions, using visual models, regrouping when subtracting mixed numbers, adding tenths and hundredths, and solving fraction word problems. Resources span fourth through fifth grade and beyond.
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- Add mixed numbers by combining the whole-number parts and the fraction parts.
- Use pictures or fraction models to see what the fractions add up to.
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- Subtract mixed fractions to find the difference between two amounts.
- Use fraction pictures to see how the wholes and parts change when you subtract.
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- Add mixed numbers when the fractions have the same denominator.
- Subtract mixed numbers when the fractions have the same denominator.
- Regroup when subtracting by borrowing 1 whole and turning it into fractional parts.
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- Add improper fractions when the bottom number is the same.
- Subtract improper fractions when the bottom number is the same.
- Rename an improper fraction as a mixed number after you add or subtract.
- Simplify the final answer when the fraction can be reduced.
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- Subtract mixed numbers when the fraction part is too small and you need to borrow 1 whole to keep subtracting.
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- Add a fraction with tenths to a fraction with hundredths and write the correct sum.
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- Add two or more fractions that have the same denominator.
- Use fraction pictures to see how parts combine to make a total.
- Match a visual model to the correct fraction value.
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- Add two fractions by combining their parts to make a total amount.
- Use pictures or fraction models to see what each fraction means before adding.
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- Add two fractions to find the total amount.
- Add fractions with the same denominator.
- Match a fraction sum to the correct picture model.
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- Add fractions that have different denominators by rewriting them as equivalent fractions with a common denominator.
- Subtract fractions that have different denominators by using a common denominator first.
- Use visual fraction models to see how two unlike fractions combine or how much is left after subtracting.
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- Add fractions that have different denominators.
- Subtract fractions that have different denominators.
- Find a common denominator so the fractions can be combined.
- Rewrite fractions as equivalent fractions and simplify the final answer when possible.
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- Add more than 2 fractions to find a total amount.
- Add fractions with the same denominator by combining the numerators.
- Add fractions with different denominators by rewriting them with a common denominator first.
- Add fractions that already have the same denominator.
- Subtract fractions that already have the same denominator.
- Keep the denominator the same and add or subtract only the numerators.
- Simplify answers when the fraction can be reduced.
- Add fractions that have different denominators by rewriting them as equivalent fractions with a common denominator.
- Subtract fractions that have different denominators by finding a common denominator first.
- Use the least common multiple to choose an efficient common denominator.
- Add unit fractions that already have the same denominator.
Multiplying & Dividing Fractions
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About these worksheets
Students build fluency with fraction multiplication and division through a wide range of activities. Worksheets cover multiplying fractions by whole numbers and by other fractions, using visual models and number lines, estimating fraction products, cross-cancelling, dividing unit fractions, interpreting fractions as division, distributing fractional amounts, and solving word problems. Topics span fourth through sixth grade Common Core standards.
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- Understand that multiplying a unit fraction means taking that fraction of a whole number.
- Use a number line to show equal jumps of a unit fraction and find the total distance.
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- Multiply a unit fraction by a whole number to find the product.
- Use repeated addition to understand what it means to multiply a fraction by a whole number.
- Explain the result as “that many copies of the fraction” (for example, 3 × 1/4 means three one-fourths).
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- Multiply a fraction by a whole number to find the total amount.
- Use pictures or models to show what it means to take a fraction several times.
- Connect repeated addition of the same fraction to multiplication.
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- Multiply a fraction by a whole number to find the total amount in several equal groups.
- Use repeated addition to understand what it means to multiply a fraction by a whole number.
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- Estimate the product of two fractions without doing exact multiplication.
- Round fractions to easy benchmark fractions like 0, 1/2, 1, or whole numbers to make mental math quicker.
- Use compatible numbers to get a close estimate for a fraction multiplication problem.
- Decide which estimate makes the most sense by comparing it to the answer choices.
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- Multiply two fractions to find the product.
- Convert between mixed numbers and improper fractions when needed to multiply.
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- Multiply two fractions to find the product.
- Use shaded area models or grids to show what it means to multiply fractions.
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- Multiply a fraction by a whole number to find the total amount.
- Use a number line to show equal jumps of a fraction and count how many jumps you make.
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- Multiply two fractions to find a product.
- Cross-cancel common factors between a numerator and the other fraction’s denominator before multiplying.
- Use factor pairs to spot numbers that can be reduced.
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- Solve division problems where a unit fraction is divided by a whole number (like 1/3 ÷ 6).
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- Divide a unit fraction by a whole number to find how much each group gets.
- Use a picture model to show how a fraction is split into equal parts.
- Connect the visual model to the rule that dividing by a whole number makes the denominator larger.
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- Divide a unit fraction by a whole number to find an equal share.
- Use the idea that dividing by a whole number makes the fraction smaller.
- Rewrite division of fractions as multiplication by the reciprocal to solve.
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- Understand what it means to divide by a unit fraction using a picture or model.
- Use visual models to see how many 1/b-sized parts fit into a given fraction or whole amount.
- Connect the visual model to the idea that dividing by a unit fraction makes the answer larger.
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- Practice reading a fraction as a division problem (numerator divided by denominator).
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- Divide a whole number by a unit fraction like 1/2 or 1/5.
- Use the idea that dividing by a unit fraction is the same as multiplying by its reciprocal.
- Find quotients that are whole numbers and understand why the answer gets larger when you divide by a fraction less than 1.
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- Divide a whole number by a unit fraction like 1/2 or 1/5.
- Use the idea that dividing by a unit fraction is the same as multiplying by its reciprocal.
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- Divide a fraction by a whole number to find how much each equal share is.
- Use a number line to show the division by splitting a fraction-length segment into equal parts.
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- Divide a unit fraction (like 1/3 or 1/8) by a whole number.
- Use a number line to show how a unit fraction is split into equal parts.
- Write the answer as a fraction and connect it to the number line model.
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- Divide a whole number by a unit fraction like 1/2 or 1/4.
- Use a number line to show equal jumps of a unit fraction and count how many jumps fit in the whole number.
- Explain the quotient as “how many 1/n parts are in this many wholes.”
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- Divide one fraction by another fraction.
- Use the reciprocal (flip the second fraction) and multiply to find the quotient.
- Convert between mixed numbers and improper fractions when needed to divide.
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- Use a number line to show division with fractions by making equal jumps.
- Figure out how many fractional steps fit into a given length on a number line.
- Solve fraction division problems by thinking about the reciprocal and what the quotient means.
About these worksheets
These worksheets develop fraction comparison skills using multiple strategies. Students compare fractions with same numerators or denominators, compare fractions with different denominators using common denominators, determine whether fractions are greater than, less than, or equal to one-half, order sets of fractions, and use visual models for comparison. Resources span third through fourth grade.
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- Compare two fractions and decide which one is greater, less, or if they are equal.
- Fill in the missing fraction to make a comparison statement true.
- Use fraction models or number lines to compare fractions by their size.
- Compare fractions with different denominators by thinking about equivalent fractions or common denominators.
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- Compare two fractions when the denominators are the same by looking at which numerator is bigger.
- Compare two fractions when the numerators are the same by deciding which denominator makes bigger pieces.
- Use the symbols >, <, and = to show which fraction is larger, smaller, or if they are equal.
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- Compare two fractions that have different denominators and decide which one is greater or less.
- Use equivalent fractions (common denominators) to make unlike fractions easier to compare.
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- Add and subtract fractions to find a sum or difference.
- Compare two fraction results to decide which is greater, less, or equal.
- Use common denominators or equivalent fractions to make comparisons easier.
Equivalent Fractions
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About these worksheets
Students learn to create, identify, and work with equivalent fractions. Activities include using visual models and number lines to find equivalent fractions, reducing fractions to simplest form, finding missing numerators or denominators, recognizing equivalent fraction patterns, writing whole numbers as fractions, and simplifying mixed numbers with improper fraction parts. Aligned with third through fourth grade standards.
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- Practice simplifying fractions to their smallest form.
- Find a common factor in the numerator and denominator and divide both by the same number.
- Use the greatest common factor to reduce a fraction in one step.
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- Find the missing number that makes two fractions equivalent.
- Use a pattern or rule to see how the numerator and denominator are being scaled.
- Multiply or divide the numerator and denominator by the same number to keep a fraction’s value the same.
- Explain why two different-looking fractions can represent the same amount.
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- Practice rewriting a whole number times a fraction as an equivalent expression with a unit fraction (e.g., 7 × 2/5 = 14 × 1/5)
- Multiply the whole number by the numerator to create the new whole number in the expression
- Understand that multiplying by a fraction like 2/5 is the same as multiplying by 2 and then by 1/5
- Turn mixed numbers with an extra-large fraction part into an equivalent mixed number with a proper fraction.
- Regroup by trading fractional parts for whole numbers when the numerator is at least the denominator.
- Rewrite a fraction as a whole number plus a leftover fraction (like 9/4 = 2 1/4).
Converting Fractions
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About these worksheets
These worksheets focus on converting between different fraction forms. Students practice converting fractions to whole numbers, changing improper fractions to mixed numbers, converting mixed numbers to improper fractions, and matching visual models to both forms. Aligned with third and fourth grade standards.
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- Turn a fraction into a whole number when it represents a complete group (like 6/3 = 2).
- Turn a whole number into an equivalent fraction (like 7 = 63/9).
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- Turn an improper fraction into a mixed number by finding how many whole groups it makes and what part is left over.
- Use division to connect the numerator and denominator when rewriting a fraction as a whole number plus a fraction.
- Write the remainder as the fractional part with the same denominator.
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- Convert a mixed number into an improper fraction.
- Multiply the whole number by the denominator to find how many fractional parts are in the whole part.
- Add the extra numerator to get the new numerator while keeping the same denominator.
Comparing Fractions, Decimals & Percents
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About these worksheets
Students develop fluency in comparing and converting between fractions, decimals, and percents. Worksheets include numeric fraction comparison, finding equivalent values across all three forms, using visual models and number lines, and working with number wheels. These resources help students see fractions, decimals, and percents as different representations of the same quantity. Aligned with fourth grade and above.
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- Decide which of two fractions is greater, less, or if they are equal.
- Compare fractions even when they have different denominators.
- Use equivalent fractions or common denominators to make comparisons easier.
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- Convert between fractions, decimals, and percents that represent the same amount.
- Find a missing fraction, decimal, or percent by using equivalent values.
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- Turn a fraction into a decimal by dividing the numerator by the denominator.
- Write decimals correctly using tenths and hundredths place value.
- Compare a fraction and a decimal to decide which one is larger.
- Use a number line to see where each value falls between 0 and 1 (or between whole numbers).
- Use benchmark values like 0, 0.5, and 1 to judge which number is closer to the right side of the number line.
