Question

Find the difference

5 2/3 - 3 1/5
A. 5 2/3
B. 8 13/15
C. 2 7/15
D. 3 1/5

Answer 1

To find the difference of given expression:

`5(2)/(3) -3(1)/(5)`

First step is to subtract the whole number5 and 3.

So, 5 - 3 = 2.

Now we can find the difference of fractions.

To subtract the fractions , we need to find the common denominator.

Common denominator of 3 and 5 is 15.

So, we need to make both the denominator equal to 15.

`(2)/(3) =(2*5)/(3*5) =(10)/(15)`

Similarly,
`(1)/(5) =(1*3)/(3*5) = (3)/(15)`

Therefore,
`(2)/(3) -(1)/(5) =(10)/(15) -(3)/(15)`

=
`(10-3)/(15)`

=
`(7)/(15)`

So, the difference of given expression is
`2(7)/(15)`.

So, the correct choice is C.