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

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Answer 1 · 2017-01-04T16:06:20

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

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

Subtracting $\frac{7}{7} - \frac{2}{7} = \frac{5}{7}$ $7/7-2/7 = 5/7$
(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

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

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

$21/4 xx 5/7 = 5/4 xx cancel21^3/cancel7 = ( 5 xx 3)/4 = 15/4$

$15/4 = 3 3/4$

Answer 2 · 2017-01-11T14:20:23

3.75 or $3 3/4$ miles by bus

Let $7/7$ be total distance = 5.25 miles

$7/7=5.25$

$2/7= (2/7)/(7/7) xx 5.25$

$=2/7 xx 5.25$

$=10.5/7$

$=1.5$ miles walking

$5.25-1.5=3.75$ miles riding by bus

A girl lives 5 1/45145 1/4 miles from school. She walks 2/7272/7 of the distance and travels the rest by bus How far does she travel by bus?