Math Drills
Division of Fractions Review
D-3Word Problems
What this worksheet covers
Grade 6 (Elementary School) / 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
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Problems and answers on this worksheet
These are the problems in “Division of Fractions”, shown with their answers.
(1)With 2/7kg of sugar, you make 3/8dL of syrup. How many dL of syrup can you make per 1kg of sugar? Answer □
Answer: 1 5/16dL
(2)There is 2/9kg of sugar. If you divide it equally into 3 bottles, what is 1 in how many kg? Answer □
Answer: 2/27kg
(3)4/5m² is 2/9 of the area of the board. What is the area of the whole board in how many m²? Answer □
Answer: 3 3/5m²
(4)The weight of rice A is 3/5 of the weight of rice B, and is 4/7kg. How much does rice B weigh, in how many kg? Answer □
Answer: 20/21kg
(5)There is 2L of water. If you pour 2/9L into each container, how many containers do you need? Answer □
Answer: 9containers
What to do next
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