Math Drills

Fraction Subtraction and Mixed Operations Review

B-5

Word Problems

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What this worksheet covers

Grade: Grade 5 (Elementary School)
Topic: Fraction Subtraction and Mixed Operations

Subtraction with unlike denominators moves from proper fractions to improper fractions and mixed numbers, including the cases that borrow. Three fractions subtracted in a row, mixed addition and subtraction with parentheses, and adding or subtracting a decimal and a fraction are lined up, while the word problems cover finding a difference and working backward.

Borrowing with mixed numbers, taking 1 from the whole-number part and then forgetting to add the denominator to the numerator, is the standard error. In mixed operations, when a subtraction stands in front of the parentheses, children add the second term inside as well, and the answer comes out larger by twice that term.

The common-denominator procedure settled in Adding Fractions (Unlike Denominators) is put to a new use here: subtraction and mixed addition and subtraction. Having completed both addition and subtraction, this study of fractions moves on in grade 6, when Multiplication of Fractions opens up multiplication and division as new operations.

Subtracting Proper Fractions (Unlike Denominators) · Word Problems1 question
Subtracting Fractions (Word Problems and Applications) · Unlike Denominators1 question
Subtracting Fractions (Word Problems and Applications) · Unlike Denominators (Mixed Numbers)1 question
Subtracting 3 Fractions · 3 Terms (Word Problems, from a Proper Fraction)1 question
Mixed Addition and Subtraction · 3 Terms (Word Problems, Proper Fractions)1 question

Questions & answers

Problems and answers on this worksheet

These are the problems in “Fraction Subtraction and Mixed Operations”, shown with their answers.

(1)There was 4/5m of wire. You cut off 11/20m. How much is left, in how many m? Answer □
Answer: 1/4m
(2)There was 5/8L of oil. You drank 1/11L. How many L are left? Answer □
Answer: 47/88L
(3)There was 4 1/10L of milk. You used 4/7L. How much is left? Answer □
Answer: 3 37/70L
(4)There was 5/6L of paint. The 1st time, you used 1/6L, and the 2nd time, you used 3/8L. How many L are left? Answer □
Answer: 7/24L
(5)There was 5/12L of paint. You bought another 1/2L, then used 1/4L. How many L are left? Answer □
Answer: 2/3L