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40 votes
Carl used 10 2/9 of an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left if he started with 20 inches?

(please put you solution)

User Savante
by
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1 Answer

11 votes
11 votes

Answer:

4 19/36

Explanation:

we have to subtract the sum of 10 2/9 and 5 1/4 from 20 to get the answer.

=> 10 2/9 + 5 1/4

As a c/d is a + c/d,

10 2/9 + 5 1/4 can also be written as 10+5+2/9+1/4

now we have to simplify it

=> 10+5 = 15

=> 2/9 = (2*4)/9*4) = 8/36, 1/4 = (1*9)/(4*9) = 9/36

now we have the same denominators

add,

8/36 + 9/36 = (8+9)/36 = 17/36

=> now we know that 10 2/9 + 5 1/4 is 15 17/36 ( which is 15 + 17/36)

=> next step is to convert 15 17/36 into an improper fraction

15 17/36 = [(15*36)+17]/36 = [540+17]/36 = 557/36

=> now we just have to subtract 557/26 from 20

20 - 557/36 = [(20*36)-557]/36 = [720-557]/36 = 163/36

=> we can convert 163/36 into a mixed fraction if we want to

163/36 converted into mixed fraction is 4 19/36

hope this helps :)

User Redexp
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2.5k points