Question

7 3/5 + 6 1/4 + 9 3/10 =

Answer 1

`23(3)/(20)`

Explanation:

Given:

The given expression is
`7(3)/(5) +6(1)/(4)+9(3)/(10)`

First, we need to convert this mixed fraction into improper fraction.

Then,
`7(3)/(5) +6(1)/(4)+9(3)/(10)=(38)/(5) +(25)/(4)+(93)/(10)`.

Now we find the LCD of all the denominators.

Therefore, LCD of 5,4 and 10 is 20.

Now we make all denominators is equal to 20.

Therefore, we multiply 5 by 4 to get 20.

Now we multiply numerator 38 by 4 we get 152.

Therefore, the first fraction is
`(152)/(20)`

Therefore, we multiply 4 by 5 to get 20.

Now we multiply numerator 25 by 5 we get 125.

Therefore, the second fraction is
`(125)/(20)`

Therefore, we multiply 10 by 2 to get 20.

Now, we multiply numerator 93 by 2 we get 186.

Therefore, the third fraction is
`(186)/(20)`.

Therefore, sum of all the three fractions is given as :

`(152)/(20)+(125)/(20)+(186)/(20) =(152+125+186)/(20) = (463)/(20) =23(3)/(20)`.