Grade 7 Fractions Missing Number
Grade 7 fractions missing number sheet: 24 problems on missing factors, missing terms with signed fractions, missing terms in equivalent fractions.
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Find the number that belongs in each blank.
- 1.___ × 2/3 = 1 1/3
- 2.2 + ___ = 3
- 3.5/6 = ___/30
- 4.___ × 4/6 = 1 1/3
- 5.3/5 + ___ = 12/5
- 6.2/3 = 4/___
- 7.___ × 1/4 = 3/4
- 8.-9/8 + ___ = -1/2
- 9.1/6 = ___/18
- 10.___ × 2/3 = 2 2/3
- 11.-4/5 + ___ = -13/5
- 12.1/2 = ___/8
- 13.___ × 3/4 = 3
- 14.-1/6 + ___ = 2/3
- 15.2/3 = ___/6
- 16.___ × 4/8 = 1 1/2
- 17.4/3 + ___ = 7/3
- 18.1/4 = 5/___
- 19.___ × 3/5 = 3 3/5
- 20.-7/3 + ___ = -8/3
- 21.1/4 = ___/8
- 22.___ × 1/4 = 1/2
- 23.-3 + ___ = -14/3
- 24.1/4 = ___/12
What this worksheet covers
This is a 24-problem missing number for grade 7 fractions, printed in black and white with the key on page two. What makes this set particular: five of the 24 problems involve a negative quantity and several problems use mixed numbers, which have to be handled without dropping the whole-number part. Problems 9 and 17, for instance, are "1/6 = ___/18" and "4/3 + ___ = 7/3". The sheet sits inside Common Core 7.NS.2, in the grade 7 The Number System strand.
Skills practised
At grade 7, fractions is about complex fractions, signed fractions, and fractions as terminating and repeating decimals, and this sheet takes one slice of that. Specifically, the problems practise missing factors, missing terms with signed fractions, and missing terms in equivalent fractions. Working the page asks a student to work in fractional units and give the answer in lowest terms, track direction as well as magnitude, and reason backwards from a result to a missing part. Thirteen different answers appear across the 24 problems, so a student cannot copy one result down the page.
About the missing number format
Each of the 24 problems has a blank, and the blank is not always at the end: problem 9, "1/6 = ___/18" puts it where the student has to reason backwards. A missing numerator or a missing factor asks the student to think about the fraction relationship in reverse.
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 13 is "___ × 3/4 = 3", Set B's is "___ × 5/8 = 3 3/4".
How to use this worksheet
Have the student estimate before computing, then compare. At grade 7 an fractions answer that is wildly off should announce itself, and building that reflex matters as much as the 24 answers. Date the missing number before filing it. Set C from six weeks later is the cheapest evidence you have that the fractions stuck.
One mistake to watch for
Division of fractions inverts the wrong fraction, or both. Problem 17 on this grade 7 missing number page, "4/3 + ___ = 7/3", is where to look for it.
"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 7 fractions formats
The same skill in the other formats available at this grade.
- Drill — Grade 7 Complex Fractions and Unit Rates, 16 problems
- Timed Drill — Grade 7 Fractions Timed Drill, 60 problems
- Mixed Review — Grade 7 Fractions Mixed Review, 30 problems
- Word Problems — Grade 7 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 6 Fractions Missing Number — grade 6, 24 problems
Missing Number sheets in other grade 7 topics
Print as many copies of this grade 7 fractions missing number as you need; Sets A, B and C and their keys are six separate PDFs, all free.