Question

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

Answer 1

Answer:

3 7/8

Step-by-step 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

Answer 2

Answer:

$\Large \boxed{3\frac{7}{8}}$

Step-by-step explanation:

Let the missing value be x.

$x+5\frac{3}{4} =9 \frac{5}{8}$

Subtract $5 \frac{3}{4}$ from both sides.

$x =9 \frac{5}{8} - 5 \frac{3}{4}$

Converting the mixed fractions to improper fractions.

$x =\frac{77}{8} - \frac{23}{4}$

Make denominators equal and subtract.

$x =\frac{77}{8} - \frac{46}{8}$

$x =\frac{77-46}{8}$

$x =\frac{31}{8}$

Converting the improper fraction into a mixed fraction.

$x=3\frac{7}{8}$