Question

The cedar trail is 2 7/8 miles long and the maple trail is 1 1/2 miles long how much longer is the cedar trail than the maple trail?

A 1 3/4 miles
B 1 3/8 miles
C 3 8/10 miles
D 4 3/8 miles

Answer 1

To find the difference in two lengths we need to subtract them

but here both length are given in mix fraction form

let us first try to write them in simple fraction form .

the first is : 2 7/8 we write it as : (8* 2 + 7 )/ 8 = 23/8

The second is : 1 1/2 we write it as : ( 2*1 + 1) /2 = 3/2

Let us now try finding difference : 23/8 - 3/2

as both have different number in the bottom we try to make a same number in denominator of both fractions .

2 can become by multiplying it to 4 .

let us multiply 3/2 by 4/4 it makes : ( 12 /8 )

now both fractions can be subtracted . (23/8 ) - ( 12/8 )

( 23 - 12 ) /8 = ( 11/8 )

that is the answer : 11/8 miles.