# A girl lives 5 1/4 miles from school. She walks 2/7 of the distance and travels the rest by bus How far does she travel by bus?

Jan 4, 2017

$3 \frac{3}{4}$ miles by bus

#### Explanation:

The total distance that she travels would be $\frac{7}{7}$
She travels $\frac{2}{7}$ by foot.

Subtracting $\frac{7}{7} - \frac{2}{7} = \frac{5}{7}$
(this is the fraction of the distance traveled by bus.)

To find the distance traveled by bus multiply the total distance by the fraction traveled by bus

$5 \frac{1}{4} \times \frac{5}{7}$ = distance traveled by bus.

$5 \frac{1}{4} = \frac{21}{4}$ ( each whole number = 4 quarters)

$\frac{21}{4} \times \frac{5}{7} = \frac{5}{4} \times {\cancel{21}}^{3} / \cancel{7} = \frac{5 \times 3}{4} = \frac{15}{4}$

$\frac{15}{4} = 3 \frac{3}{4}$

Jan 11, 2017

3.75 or$3 \frac{3}{4}$miles by bus

#### Explanation:

Let $\frac{7}{7}$ be total distance = 5.25 miles

$\frac{7}{7} = 5.25$

$\frac{2}{7} = \frac{\frac{2}{7}}{\frac{7}{7}} \times 5.25$

$= \frac{2}{7} \times 5.25$

$= \frac{10.5}{7}$

$= 1.5$ miles walking

$5.25 - 1.5 = 3.75$miles riding by bus