How do you evaluate \frac { 7} { 8} + 4\frac { 1} { 2}?

2 Answers
Aug 3, 2017

43/8

Explanation:

7/8+4 1/2

Here, 4 1/2 is nothing other than 4+1/2.

The calculation goes this.....

7/8+4 1/2

=7/8+(4+1/2)
=7/8+(4(2)+1)/2

=7/8+(8+1)/2

=7/8+9/2

=7/8+(9(4))/(2(4))

=7/8+36/8=(7+36)/8=43/8

Aug 4, 2017

= 5 3/8

Explanation:

We can work with the mixed numbers. The values to work with are smaller than if we change to improper fractions.

Add the whole numbers first: then find common denominator

7/8 + 4 1/2

= 4 (?+?)/8

Make equivalent fractions

= 4 (7+4)/8" "larr (1/2 = 4/8)

= 4 11/8

= 4+1 3/8" "larr 11/8 = (8+3)/8

= 5 3/8