Math Drills

Multiplying 3 Fractions

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Word Problems (Consecutive Percentages)

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What this worksheet covers

Grade 6 (Elementary School) / Multiplication of Fractions / Multiplying 3 Fractions

The center is calculation multiplying three fractions in a row, with word problems in three shapes laid on top: a question applying a percentage twice over, a question multiplying a whole number by two fractions so that the answer comes out whole, and a question using parentheses to gather a sum or a difference into one expression.

In the question gathering into one expression with parentheses, the parentheses get dropped, the first two are multiplied, and the rest is added or subtracted afterward. A paper that went correctly always keeps a stage where what stood inside the parentheses was gathered into a single fraction.

The procedure of producing a product while simplifying is complete here. That procedure works as the part after a division has been rewritten as a multiplication, in Fraction ÷ Whole Number and Whole Number ÷ Fraction.

3 Terms, Successive Ratios3 questions
3 Terms, Applying Ratios in Stages (Whole-Number Answer)2 questions

Grade 6 (Elementary School) Multiplication of Fractions Multiplying 3 Fractions

Grade 6 (Elementary School) Multiplication of Fractions Multiplying 3 Fractions answers

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Problems and answers on this worksheet

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

(1)In a 6/7m² flower garden, tulips were planted in 1/2 of it. Of those, 1/2 are red tulips. What is the area of the red tulip section, in how many m²? Answer □
Answer: 3/14m²
(2)In a 3/4m² flower garden, tulips were planted in 4/7 of it. Of those, 5/9 are red tulips. What is the area of the red tulip section, in how many m²? Answer □
Answer: 5/21m²
(3)There is a garden with a total area of 120m². Of that, 1/2 is lawn, and 1/2 of the lawn is a flower bed. What is the area of the flower bed in how many m²? Answer □
Answer: 30m²
(4)There is a park with a total area of 480m². Of that, 7/12 is woods, and 5/14 of the woods is a pond. What is the area of the pond in how many m²? Answer □
Answer: 100m²
(5)There is a 1/3m tape. We cut off 1/4 of the length that is 1/2 of it. How long, in how many m, is the piece we cut off? Answer □
Answer: 1/24m