Problems on Division of Fractional Numbers

Problems on division of fractional numbers will give idea how to solve different types of word problems.

1. In a school 2/7 of the students are boys. If there are 280 girls, find the number of boys.

Solution:

Suppose the number of students = 1

Number of boys = 1 × 2/7 = 2/7

Number of girls = 1 - 2/7 = 5/7

5/7 of the students = 280

Therefore, total number of students = 280 ÷ 5/7

                                                    = 280 × 7/5

                                                    = 392 students

Number of boys = 392 - 280 = 112 boys

2. Ron has 5 ¼ m long  ribbon. She cuts it into three equal pieces. What is the length of each piece of ribbon?

Solution:

Length of the ribbon = 5  ¼ m

Number of equal pieces cut out = 3

Length of each piece of ribbon = 5 ¼ ÷ 3

                                            = 21/4 ÷ 3

                                            = 21/4 × 1/3

                                            = 21 × 1/4 × 3

                                            = 7/4 metre

                                            = 1 ¾ metre

Therefore, length of each piece of ribbon is 1 ¾ metre.


3. The cost of 4  ½ m cloth is $ 60  ¾. Find the cost of 1 m cloth.

Solution:

Cost of 4 ½ m cloth = $ 60  ¾

Cost of 1 m cloth = $ (60 ¾ ÷ 4 ½)

                         = $ (243/4 × 2/9)

                         = $ 27/2

                         = $ 13 ½


4. Sam paid $ 45 for 3 ¾ kg of sugar. How much did he pay for 1 kg of sugar?

Solution:

Cost of 3 ¾ kg of sugar = $ 45

Cost of 1 kg of sugar = 45 ÷ 3 ¾

                               = 45 ÷ 15/4

                               = 45/1 × 4/15

                               = $ 12

Therefore, cost of 1 kg of sugar is $ 12.

Multiplication is Repeated Addition.

Multiplication of a Whole Number by a Fraction

Multiplication of Fractional Number by a Whole Number.

Multiplication of a Fraction by Fraction.

Properties of Multiplication of Fractional Numbers.

Multiplicative Inverse.

Problems on Multiplication of Fractional Numbers

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.

Problems on Division of Fractional Numbers

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 Page

5th Grade Math Problems

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