Question

To get to her school, Sarah rode her bicycle $\frac{3}{4}$ of a mile. What is the decimal equivalent of the distance she travelled?

• A. 0.75
• B. 0.25
• C. 0.70
• D. 0.86

Answer 1

The correct option is A 0.75

Let's divide the fraction $\frac{3}{4}$
We multiply both the numerator and denominator of $\frac{3}{4}$ with 25 to get a fraction with a denominator power of 10.

$\frac{3}{4}=\frac{3\times 25}{4\times 25}=\frac{75}{100}$

$\because$ Denominator of fraction $\frac{75}{100}$ is 100,
$\to$ Write the numerator as 75.0
$\to$ Shift the decimal point two places to the left in 75.0, since the denominator has two zeros (100)


$\Rightarrow \frac{75}{100}=\frac{75.0}{100}=0.75$
Hencce, Sarah rode for 0.75 mile to get to school.