Math Drills

Division of Fractions Review

D-5

Word Problems

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What this worksheet covers

Grade: Grade 6 (Elementary School)
Topic: Division of Fractions

Division is rewritten as multiplication by the reciprocal of the divisor. Fraction÷Whole Number, Whole Number÷Fraction and Mixed Number÷Whole Number come first, then proper fraction divided by proper fraction, division mixing fractions and decimals, and Dividing Three Fractions, with word problems on The Base Amount and Per-Unit Quantity to put it all to work.

Taking the reciprocal of the dividend instead of the divisor, which turns the answer upside down, is the most frequent error. In Dividing Three Fractions, some answers invert only the first divisor and multiply the rest as they stand. That dividing by a number less than 1 makes the answer larger is also hard to accept.

With the procedure for multiplying settled by Multiplication of Fractions, this unit takes up its reverse, division. Even between the same two fractions, changing the operation alone completely rebuilds how the answer is found. Decimals join the mix in the next unit, Mixed Operations with Fractions and Decimals, where the procedure learned here becomes just one part of a longer expression.

Division of Fractions Word Problems · Per-Unit Quantity1 question
Division of Fractions Word Problems · Fraction÷Whole Number1 question
Division of Fractions Word Problems · The Base Amount1 question
Division of Fractions Word Problems · Applications (Working Backwards with Ratios)1 question
Division of Fractions Word Problems · Whole Number÷Fraction1 question

Questions & answers

Problems and answers on this worksheet

These are the problems in “Division of Fractions”, shown with their answers.

(1)3/8m of copper wire weighs 7/12kg. How many kg does 1m weigh? Answer □
Answer: 1 5/9kg
(2)There is 2/3m of wire. If you cut it into 5 equal lengths, what is 1 in how many m? Answer □
Answer: 2/15m
(3)When you used 4/5 of the paint, the amount used was 7/8dL. How much was there originally, in how many dL? Answer □
Answer: 1 3/32dL
(4)The amount of water that fits in container A is 5/9 of container B, and is 7/8L. How much water fits in container B, in how many L? Answer □
Answer: 1 23/40L
(5)If you divide 6L of paint into cans of 3/4L each, how many cans do you need? Answer □
Answer: 8cans