The number that will occupy the denominator is 8
- Given the expression, let's first;
Divide the two real numbers of the denominators between themselves:
-5/8 + 9/2
8 ÷ 2 = 4
With this number - we will multiply the terms of the second fraction with it:
-5/8 + 9/2
-5/8 + 9*4/2*4
-5/8 + 36/8
- When the denominators are equal, we subtract or add the numerators and keep the denominators;
So we'll join these two fractions into one and then we'll do the sum:
-5/8 + 36/8
-5+36/8
31/8
Therefore, the value of this expression is 31/8, with denominator 8