Question

Emma goes to her school on a cycle. The school is 3 miles from her home. On a particular morning, she covered 5 miles and stopped for a break. Figure out the proportion of distance she already covered. The decimal conversion of the proportion is .

Answer 1

The proportion of distance Emma covered
$=\frac{\text{Distance covered}}{\text{Total distance}}=\frac{3}{5}$

Method 1

To convert the proportion into a decimal number, let's perform long division.
$\therefore \frac{3}{5}=0.6$

Method 2

To convert $\frac{3}{5}$ into a decimal number, let's multiply the numerator and denominator by a number such that the denominator becomes 10 or 100.

$\frac{3}{5}\times \frac{2}{2}=\frac{3\times 2}{5\times 2}=\frac{6}{10}=0.6$