Question

How do you evaluate `3\frac { 3} { 4} + 1\frac { 1} { 8} + 4\frac { 1} { 2}`?

Answer 1

You may first add all the 'wholes' and then the fractions

Explanation:

`=(3+1+4) + (3/4+1/8+1/2)`

The 'wholes' part will be `8`

It's easy to see that the common denominator for the fractions part will be `8`, so we multiply the other fraction by 'disguised' `1`'s:
`3/4xx2/2=6/8and1/2xx4/4=4/8`

Adding all, this gives `6/8+1/8+4/8=11/8=8/8+3/8=1 3/8`

Now add the 'wholes' partfrom before:

`=8+1 3/8=9 3/8`