Improper Fractions and Mixed Numbers

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Grade 4MathFractionsCCSS 4.NF.B.3.bCCSS 4.NF.B.3.c

Skill: Converting between improper fractions and mixed numbers

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10 versions, each with its own answer key

Same skill and layout, a fresh set of problems in every version, so children can keep practicing without repeating a page. Problems are not repeated between versions unless a skill has only a small number of possible problems (for example, the addition facts within 10).

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About this worksheet

An improper fraction has a numerator greater than its denominator, such as 11/4. A mixed number shows the same amount as a whole number and a fraction, such as 2 3/4. Fourth graders learn to move between these forms because adding and subtracting mixed numbers depends on it. This fourth-grade worksheet has two parts. Part A gives ten improper fractions to rewrite as mixed numbers. Part B gives ten mixed numbers to rewrite as improper fractions.

Denominators include 2, 3, 4, 5, 6, 8, 10, and 12. Every fraction part is already in simplest form, so each problem has one clear answer and students can focus on the conversion itself.

How to use it: for Part A, ask how many whole groups of the denominator fit in the numerator. Divide, write the quotient as the whole number, and keep the remainder over the same denominator. For Part B, multiply the whole number by the denominator, add the numerator, and keep the denominator. Drawing fraction bars or circles for a few problems shows why 11/4 is two wholes and three fourths. Check each answer by converting it back.

The answer key lists every converted number. This worksheet supports Common Core standards 4.NF.B.3.b (decompose a fraction into a sum of fractions with the same denominator, such as writing a mixed number as ones and fractions) and 4.NF.B.3.c (add and subtract mixed numbers with like denominators). Use it after our Simplifying Fractions worksheet.

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