How do you evaluate \frac { 7} { 8} + 4\frac { 1} { 2}78+412?

2 Answers

43/8438

Explanation:

7/8+4 1/278+412

Here, 4 1/2412 is nothing other than 4+1/24+12.

The calculation goes this.....

7/8+4 1/278+412

=7/8+(4+1/2)=78+(4+12)
=7/8+(4(2)+1)/2=78+4(2)+12

=7/8+(8+1)/2=78+8+12

=7/8+9/2=78+92

=7/8+(9(4))/(2(4))=78+9(4)2(4)

=7/8+36/8=(7+36)/8=43/8=78+368=7+368=438

Aug 4, 2017

= 5 3/8=538

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 1/278+412

= 4 (?+?)/8=4?+?8

Make equivalent fractions

= 4 (7+4)/8" "larr (1/2 = 4/8)=47+48 (12=48)

= 4 11/8=4118

= 4+1 3/8" "larr 11/8 = (8+3)/8=4+138 118=8+38

= 5 3/8=538