Division of decimals

Dividing decimals by whole numbers

Example 1

$0.35 \div 7 = \,?$

Solution

Write the two numbers as a fraction. That is, $\frac{0.35}{7}$.

Multiply the numerator and denominator by 100 to remove the decimal places:

$\frac{0.35 \times 100}{7 \times 100} = \frac{35}{700}$

Divide 35 by 700 to get 0.05.

Therefore, $0.35 \div 7 = 0.05$.

Example 2

$96.75 \div 9 = \,?$

Solution

Write the two numbers as a fraction. That is, $\frac{96.75}{9}$.

Multiply the numerator and denominator by 100 to remove the decimal places:

$\frac{96.75 \times 100}{9 \times 100} = \frac{9675}{900}$

$\frac{9675}{900} = 10.75$

Therefore, $96.75 \div 9 = 10.75$.