Grade 6 Fractions Mixed Review
Grade 6 fractions mixed review sheet: 30 problems on dividing fractions by fractions, operations with mixed numbers, multiplying fractions, adding and subtracting unlike fractions, fractions and decimals.
Download
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.
- 1.7/8 + 3/6 =
- 2.1/2 ÷ 1/4 =
- 3.Write 0.2 as a fraction in lowest terms.
- 4.2 2/3 - 1 2/3 =
- 5.1/2 × 7/10 =
- 6.6/8 - 1/4 =
- 7.11/12 ÷ 1/2 =
- 8.Write 0.625 as a fraction in lowest terms.
- 9.2 1/3 × 2 1/6 =
- 10.1/2 × 4/10 =
- 11.5/8 + 1/2 =
- 12.4/6 ÷ 4/10 =
- 13.Write 9/10 as a decimal.
- 14.3 1/2 - 3 1/8 =
- 15.1/2 × 2/3 =
- 16.4/5 + 1/3 =
- 17.3/6 ÷ 4/5 =
- 18.Write 1/10 as a decimal.
- 19.3 3/5 + 3 4/5 =
- 20.2/3 × 1/2 =
- 21.1/2 - 2/4 =
- 22.2/5 ÷ 1/12 =
- 23.Write 3/4 as a decimal.
- 24.3 1/3 - 1 1/3 =
- 25.6/8 × 2/4 =
- 26.2/10 + 1/5 =
- 27.1/2 ÷ 3/4 =
- 28.Write 0.6 as a fraction in lowest terms.
- 29.3 3/5 - 1 2/5 =
- 30.2/3 × 2/5 =
What this worksheet covers
30 fractions problems fill this mixed review page; problem 11 asks "5/8 + 1/2", and the sheet stays at that level throughout. Within that, several problems use mixed numbers, which have to be handled without dropping the whole-number part and operands run to three decimal places, so the decimal points have to be lined up rather than the right-hand digits. Further down, problem 21 asks "1/2 - 2/4". The sheet sits inside Common Core 6.NS.1, in the grade 6 The Number System strand.
Skills practised
The grade 6 fractions sequence covers dividing fractions by fractions and all four operations with mixed numbers; this page sits inside it. Specifically, the problems practise dividing fractions by fractions, operations with mixed numbers, and multiplying fractions. Concretely, the sheet tests whether a student can work in fractional units and give the answer in lowest terms and keep the decimal points aligned. 25 different answers appear across the 30 problems, so a student cannot copy one result down the page.
About the mixed review format
The 30 problems are deliberately assorted — problem 11, "5/8 + 1/2" is followed by something of another shape — so the student has to read each one rather than run the last method again. Comparison, equivalence and computation on one page stops the sheet from being a single procedure repeated.
Set A, Set B and Set C
The three sets come from the same generator with three different seeds: same skill, same layout, fresh numbers, and an answer key computed with the problems. Where Set A's problem 16 is "4/5 + 1/3", Set B's is "2 2/3 + 2 5/6".
How to use this worksheet
Expect twenty minutes or so of real attention for 30 problems. At grade 6, fractions rewards care over speed — a rushed mixed review gets the arithmetic right and the signs or units wrong. If more than a third of the 30 problems come back wrong, stop and step back a grade in fractions rather than assigning Set B.
One mistake to watch for
Division of fractions inverts the wrong fraction, or both. On this grade 6 mixed review, problem 21 ("1/2 - 2/4") is the kind of item where it shows.
"Invert and multiply" is remembered as a rule without the reasoning that only the divisor flips.
Say "how many groups of the second fraction fit in the first" for a few problems, so the divisor is the one that changes.
Other grade 6 fractions formats
The same skill in the other formats available at this grade.
- Drill — Grade 6 Dividing Fractions, 16 problems
- Timed Drill — Grade 6 Fractions Timed Drill, 60 problems
- Missing Number — Grade 6 Fractions Missing Number, 24 problems
- Word Problems — Grade 6 Fractions Word Problems, 10 problems
A step either side
The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.
- Grade 5 Fractions Mixed Review — grade 5, 30 problems
- Grade 7 Fractions Mixed Review — grade 7, 30 problems
Mixed Review sheets in other grade 6 topics
Six PDFs, no sign-up: three versions of this grade 6 fractions mixed review and three answer keys, each 30 problems long.