Math Drills

Multiplication of Fractions Word Problems

Word Problems

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What this worksheet covers

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

The lesson is word problems only, setting up expressions from three kinds of scene: the height and width of a rectangle, the weight and length per 1 m, and a base amount with a ratio. Questions with a ratio above 1 and below 1 both appear, and questions whose base amount is shown as an improper fraction are mixed in.

When the amount for one already appears in the writing, that figure belongs on the multiplying side. Misread it as a question asking for the amount for one and a division by the length gets set up. Having the child put a finger on where the weight per 1 m is written keeps the work from drifting into division.

The procedure of simplifying while producing a product was finished by Fraction × Fraction. What is new here is only raising that expression out of the words of a scene. Multiplying three partners instead of two starts after this.

Area (Length×Width)1 question
Compared Quantity, Ratio > 11 question
Compared Quantity, Ratio < 11 question
Compared Quantity, Ratio < 1 (Two Steps)1 question
Per-Unit Quantity (Fraction×Fraction)1 question

Questions & answers

Problems and answers on this worksheet

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

(1)There is a board shaped like a rectangle that is 5/7m in height and 3/10m in width. What is the area of this board in how many m²? Answer □
Answer: 3/14m²
(2)Kenneth weighs 20kg. His older brother's weight is 11/4 of Kenneth's weight. How many kg does his older brother weigh? Answer □
Answer: 55kg
(3)There is 1/6m of long rope. The length of short rope is 4/9 of the long rope's length. How many m is the short rope? Answer □
Answer: 2/27m
(4)There was 15/8L of tea. Today, you drank 1/5 of it. How many L of tea did you drink? Answer □
Answer: 3/8L
(5)There is a board where 1m weighs 8/11kg. How many kg does 2/5m of it weigh? Answer □
Answer: 16/55kg