Question

What is the sum of this expression?

Answer 1

B. 9
`(1)/(2)`

Explanation:

Rewriting the two fractions in the expression:

=
`([(8)(2)]+1)/(8) + ([(8)(7)]+3)/(8)`

=
`(17)/(8) + (59)/(8)`

Since the denominators of both the fractions is the same, then the denominator of the resulting simplified fraction will also be the same. In addition, everything written in the numerator level will be copied down as it is:

=
`(17 + 59)/(8)`

=
`(76)/(8)`

Divide the numerator and denominator by the Highest Common Factor '4':

=
`(19)/(2)`

Apply Long Division since:

1. The numerator is greater than the denominator and
2. The numerator and the denominator cannot be further reduced or simplified

Choose the highest quotient to be multiplied by 2 to give a number closest to 19 but still less than 19. The quotient turns out to be 9. The remainder is 1

∴ Sum of the expression = 9
`(1)/(2)`

Answer 2

The answer is b! Ur welcome