Math Drills

Division of Fractions Word Problems

B-3

Word Problems (Integer ÷ Fraction, etc.)

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What this worksheet covers

Grade: Grade 6 (Elementary School)
Topic: Division of Fractions
Worksheet: Division of Fractions Word Problems

The lesson begins from scenes rather than expressions. Questions sharing a fractional amount among a number of people, questions counting how many pieces a whole number of units yields when cut into fractional lengths, questions tracing back to The Base Amount from a percentage and a part, questions finding the amount for one, and two-stage applications involving comparison and distribution all run as word problems.

In the questions finding The Base Amount, papers set up an expression multiplying the part by the fraction that is the percentage. Once the answer is out, multiply the percentage in the writing back into it. Return to the part written at the start and the direction is right.

The procedure of dividing was settled in Fraction ÷ Fraction, and here it has moved to the work that follows setting up an expression. In Mixed Operations with Fractions that work appears as one part of a long expression.

Per-Unit Quantity2 questions
Applications (Working Backwards with Ratios)2 questions
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)With 2/7L of paint, 4/9m² was painted. With 1L of paint, how many m² can you paint? Answer □
Answer: 1 5/9m²
(2)It took 2/3minutes to pour in 5/6L of water. How many L are poured in per 1 minute? Answer □
Answer: 1 1/4L
(3)The length of tape A is 4/9 of the length of tape B, and is 2/3m. What is the length of tape B in how many m? Answer □
Answer: 1 1/2m
(4)The height of pillar A is 4/7 of the height of pillar B, and is 2/5m. What is the height of pillar B in how many m? Answer □
Answer: 7/10m
(5)There is 6m of wire. If you cut it into pieces of 3/8m each, how many pieces can you make? Answer □
Answer: 16pieces