Fractions•Grade 5•Mixed Review

Grade 5 Fractions Mixed Review

Grade 5 fractions mixed review sheet: 30 problems on adding fractions with unlike denominators, subtracting fractions with unlike denominators, multiplying fractions, dividing with unit fractions, simplifying fractions, mixed numbers and improper fractions.

CCSSAligned to Common Core 5.NF.1: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions with a common denominator.

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Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Solve each problem. Read carefully — the problems change shape as you go.

1.
1/10 × 5/8 =
2.
8/10 - 1/3 =
3.
Write 2 1/3 as an improper fraction.
4.
3 ÷ 1/3 =
5.
Simplify 6/18.
6.
7/8 + 1/4 =
7.
1/3 × 2/8 =
8.
1/2 - 1/3 =
9.
Write 10/4 as a mixed number.
10.
1/3 ÷ 4 =
11.
Simplify 2/8.
12.
2/5 + 6/8 =
13.
9/12 × 1/2 =
14.
3/10 - 1/5 =
15.
Write 5 2/8 as an improper fraction.
16.
6 ÷ 1/6 =
17.
Simplify 6/9.
18.
6/8 + 5/12 =
19.
1/6 × 7/12 =
20.
8/10 - 3/5 =
21.
Write 16/6 as a mixed number.
22.
4 ÷ 1/3 =
23.
Simplify 3/6.
24.
2/5 + 1/2 =
25.
4/10 × 9/10 =
26.
6/10 - 2/6 =
27.
Write 12/8 as a mixed number.
28.
3 ÷ 1/2 =
29.
Simplify 6/36.
30.
8/12 + 1/2 =

What this worksheet covers

There are 30 fractions problems here — one page to work, one page of answers to check against — and Sets B and C repeat the layout with different numbers. Several problems use mixed numbers, which have to be handled without dropping the whole-number part and the numbers run as high as 16. Problems 11 and 21, for instance, are "Simplify 2/8." and "Write 16/6 as a mixed number.". The sheet sits inside Common Core 5.NF.1, in the grade 5 Number & Operations—Fractions strand.

Skills practiced

At grade 5, fractions is about adding and subtracting unlike denominators, multiplying fractions, and dividing with unit fractions, and this sheet takes one slice of that. What a student is asked to do here is adding fractions with unlike denominators, subtracting fractions with unlike denominators, and multiplying fractions. Working the page asks a student to work in fractional units and give the answer in lowest terms. 27 different answers appear across the 30 problems, so a student cannot copy one result down the page.

About the mixed review format

Mixed review changes the problem shape as the page goes on, so the 30 problems here cover six different skills rather than one procedure repeated; problem 11, "Simplify 2/8." sits next to problems of a different kind. Comparison, equivalence and computation on one page stops the sheet from being a single procedure repeated.

Set A, Set B and Set C

All three sets are produced by the site's deterministic generator from a fixed seed, so they are the same every time the site is built and the answer keys are exact. Where Set A's problem 16 is "6 ÷ 1/6", Set B's is "Simplify 8/12.".

How to use this worksheet

Give this mixed review uninterrupted. At grade 5, fractions is where procedure and recall have to run at the same time, and 30 problems done in fragments hide which of the two is the problem. Keep the key face down until all 30 problems are finished, then go through the misses together rather than only totaling the score.

One mistake to watch for

Answers are left unsimplified or as improper fractions when the sheet asks for lowest terms. Problem 2 on this grade 5 mixed review page, "8/10 - 1/3", is where to look for it.

Simplifying is seen as an optional extra step rather than part of the answer.

Add a checking step: is there a number that divides both parts? Is the top bigger than the bottom?

The full guide to teaching fractionsTeaching fractions from equal shares to rational numbers: the grade 1–8 progression, why the number line matters, and the misconceptions that persist for years.