Q:

Solve:x+1 3/4=2 4/8

Accepted Solution

A:
Start by isolating the X.

1 :
x + 1 ¾ = 2 4/8
- 1 ¾ - 1 ¾

2 :
x = (2 4/8) - (1 ¾)

3 :
In order to subtract the fractions, you need to find a common denominator.
The common denominator can be found by multiplying the two denominators together.

4 x 8 = 32

4 :
Rewrite each fraction as an equivalent fraction with a denominator of 32.

4/8 —> (4 x 4)/(8 x 4) —> 16/32
¾ —> (3 x 8)/(4 x 8) —> 24/32

5 :
Subtract the numerators. Simplify the answer if needed.
16/32 - 24/32
16 - 24 = -8
-8/32 —> (-8/4)/(32/4) —> -2/4
-2/4 —> (-2/2)/(4/2) —> - ½

6 :
(2 - 1) - ½ —> 1 - ½ = ½

Final answer : X = ½ :)