Division of Decimals

Division of Decimals

While dividing decimals

• We remove decimal point, and convert into fractions
• We try to make denominator as 10, 100, 1000, … and solve
• And in the end, we convert fraction into decimals

Let’s take some examples

2.8 ÷ 2

= 2.8 ÷ 2/1

= 2.8 × 1/2

= 28/10 × 1/2

= (28 × 1)/(10 × 2)

= 14/10

= 1.4

3.6 ÷ 9

= 3.6 ÷ 9/1

= 3.6 × 1/9

= 36/10 × 1/9

= (36 × 1)/(10 × 9)

= 4/10

= 04/10

= 0.4

9.8 ÷ 100

= 9.8 ÷ 100/1

= 9.8 × 1/100

= 98/10 × 1/100

= (98 × 1)/(10 × 100)

= 98/1000

= 98/1000

= 0098/1000

= 0.098

12.96 ÷ 4

= 12.96 ÷ 4/1

= 12.96 × 1/4

= 1296/100 × 1/4

= 1296/4 × 1/100

= 324 × 1/100

= 324/100

= 3.24

0.05 ÷ 100

= 0.05 ÷ 100/1

= 0.05 × 1/100

= 005/100 × 1/100

= 005/100 × 1/100

= 5/100 × 1/100

= (5 × 1)/(100 × 100)

= 5/10000

= 00005/10000

= 0.0005