Word Problems on Fraction

In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

1. 4/7 of a number is 84. Find the number.


According to the problem,

4/7 of a number = 84

Number = 84 × 7/4

[Here we need to multiply 84 by the reciprocal of 4/7]

Word Problems on Fraction

= 21 × 7

= 147

Therefore, the number is 147.

2. Rachel took \(\frac{1}{2}\) hour to paint a table and \(\frac{1}{3}\) hour to paint a chair. How much time did she take in all?

Time taken to paint a table = \(\frac{1}{2}\) hour

Time taken to paint a chair = \(\frac{1}{3}\) hour

Total time taken                = \(\frac{1}{2}\) hour + \(\frac{1}{3}\) hour

                                       = \(\frac{5}{6}\) hour

\(\frac{1}{2}\) + \(\frac{1}{3}\)

L.C.M. of 2, 3 is 6.

= \(\frac{3}{6}\) + \(\frac{2}{6}\)

\(\frac{1 × 3}{2 × 3}\) = \(\frac{3}{6}\) 

\(\frac{1 × 2}{3 × 2}\) = \(\frac{2}{6}\)

3. If 3\(\frac{1}{2}\) m of wire is cut from a piece of 10 m long wire, how much of wire is left?

Total length of the wire = 10 m

Fraction of the wire cut out = 3\(\frac{1}{2}\) m = \(\frac{7}{2}\) m

Length of the wire left = 10 m – 3\(\frac{1}{2}\) m

            = [\(\frac{10}{1}\) - \(\frac{7}{2}\)] m,    [L.C.M. of 1, 2 is 2]

            = [\(\frac{20}{2}\) - \(\frac{7}{2}\)] m,    [\(\frac{10}{1}\) × \(\frac{2}{2}\)]

            = [\(\frac{20 - 7}{2}\)] m

            = \(\frac{13}{2}\) m

            = 6\(\frac{1}{2}\) m

4. One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?


Fraction of girls studying in school = 1/2

Fraction of girls studying in lower classes = 3/5 of 1/2

                                                            = 3/5 × 1/2

                                                            = (3 × 1)/(5 × 2)

                                                            = 3/10

Therefore, 3/10 of girls studying in lower classes.

5. Maddy reads three-fifth of 75 pages of his lesson. How many more pages he need to complete the lesson?


Maddy reads = 3/5 of 75

= 3/5 × 75

Word Problems on Fraction

= 45 pages.

Maddy has to read = 75 – 45.

= 30 pages.

Therefore, Maddy has to read 30 more pages.

6. A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk each day. They give 24 litres milk in six days. How many cows are there in the herd?


A herd of cows gives 4 litres of milk each day.

Each cow gives one-third of total milk each day = 1/3 of 4

Therefore, each cow gives 4/3 of milk each day.

Total no. of cows = 4 ÷ 4/3

                         = 4 × ¾

                         = 3

Therefore there are 3 cows in the herd.

Questions and Answers on Word problems on Fractions:

1. Shelly walked \(\frac{1}{3}\) km. Kelly walked \(\frac{4}{15}\) km. Who walked farther? How much farther did one walk than the other?

2. A frog took three jumps. The first jump was \(\frac{2}{3}\) m long, the second was \(\frac{5}{6}\) m long and the third was \(\frac{1}{3}\) m long. How far did the frog jump in all?

3. A vessel contains 1\(\frac{1}{2}\) l of milk. John drinks \(\frac{1}{4}\) l of milk; Joe drinks \(\frac{1}{2}\) l of milk. How much of milk is left in the vessel?

 Multiplication is Repeated Addition.

● Multiplication of Fractional Number by a Whole Number.

● Multiplication of a Fraction by Fraction.

● Properties of Multiplication of Fractional Numbers.

● Multiplicative Inverse.

● Worksheet on Multiplication on Fraction.

● Division of a Fraction by a Whole Number.

● Division of a Fractional Number.

● Division of a Whole Number by a Fraction.

● Properties of Fractional Division.

● Worksheet on Division of Fractions.

● Simplification of Fractions.

● Worksheet on Simplification of Fractions.

● Word Problems on Fraction.

● Worksheet on Word Problems on Fractions.

5th Grade Numbers 

5th Grade Math Problems 

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