Math Drills

Division of Fractions Review

D-1

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)4/5m of wire weighs 2/3kg. How much does 1m of wire weigh, in how many kg? Answer □
Answer: 5/6kg
(2)There is 7/9kg of salt. You put it equally into 4 bottles. What is 1 in how many kg? Answer □
Answer: 7/36kg
(3)When you sorted 3/8 of the beans, the beans picked out weighed 7/12kg. What was the original in how many kg? Answer □
Answer: 1 5/9kg
(4)The amount of water is 8/15 of juice, and is 2/3L. How much juice is there, in how many L? Answer □
Answer: 1 1/4L
(5)There is 4m of string. If you cut it into pieces of 4/11m each, how many pieces do you get? Answer □
Answer: 11pieces