Math Drills

Division of Fractions Word Problems

B-1

Word Problems (Integer ÷ Fraction, etc.)

What this worksheet covers

Grade 6 (Elementary School) / Division of Fractions / 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
Grade 6 (Elementary School) Division of Fractions Division of Fractions Word Problems
Grade 6 (Elementary School) Division of Fractions Division of Fractions Word Problems answers

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Problems and answers on this worksheet

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

  1. (1)With 3/4kg of rice, you can make 3/5L of porridge. How many L of porridge can you make per 1kg of rice? Answer □

    Answer: 4/5L

  2. (2)To paint 2/7m² of a board, you need 3/4dL of paint. How many dL do you need to paint 1m²? Answer □

    Answer: 2 5/8dL

  3. (3)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

  4. (4)The distance that boat A travels in 1 hour is 2/9 of the distance that boat B travels in 1 hour, and is 3/5km. What is the distance that boat B travels in 1 hour, in how many km? Answer □

    Answer: 2 7/10km

  5. (5)There is 8kg of sand. You divide it into bags of 2/3kg each. How many bags do you need? Answer □

    Answer: 12bags

What to do next

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Next unit: Mixed Operations with Fractions and Decimals