Question

_____ + 5 3/4 = 9 5/8
please help you will get 75 points​

Answer 1

`\Large \boxed{3(7)/(8)}`

Explanation:

Let the missing value be x.

`x+5(3)/(4) =9 (5)/(8)`

Subtract
`5 (3)/(4)` from both sides.

`x =9 (5)/(8) - 5 (3)/(4)`

Converting the mixed fractions to improper fractions.

`x =(77)/(8) - (23)/(4)`

Make denominators equal and subtract.

`x =(77)/(8) - (46)/(8)`

`x =(77-46)/(8)`

`x =(31)/(8)`

Converting the improper fraction into a mixed fraction.

`x=3(7)/(8)`

Answer 2

3 7/8

Explanation:

_____ + 5 3/4 = 9 5/8

x + 5 3/4 = 9 5/8

Subtract 5 3/4 from each side

x + 5 3/4 - 5 3/4 = 9 5/8 - 5 3/4

x = 9 5/8 - 5 3/4

Get a common denominator of 8

5 3/4 *2/2 = 5 6/8

x = 9 5/8 - 5 6/8

We need to borrow 1 from the 9 in the form of 8/8

x= 8 + 8/8+ 5/8 - 5 6/8

x = 8 13/8 - 5 6/8

= 3 7/8