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Ayako took a trip to the store 4 1/2mi away. If she rode the bus for 3 5/8mi and walked the rest of the way, how far did she have to walk? Express you answer as a simplified fraction or mixed number

User GalAbra
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1 Answer

15 votes
15 votes

Ayako took a trip to the store 4 1/2mi away. If she rode the bus for 3 5/8mi and walked the rest of the way, how far did she have to walk? Express you answer as a simplified fraction or mixed number

we have that

total distance=4 1/2 miles

Let

x ----> number of miles walked

so

4 1/2=3 5/8+x

solve for x

But first, convert mixed number to an improper fraction

4 1/2=4+1/2=9/2

3 5/8=3+5/8=29/8

substitute

9/2=(29/8)+x

x=(9/2)-29/8

the fractions have different denominators

so

Find out an equivalent fraction

9/2=(9/2)*(4/4)=36/8

so

x=(36/8)-29/8

x=7/8

the answer is 7/8 miles

User Plasmarob
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