Question

How do you add `10\frac { 3} { 4}+ \quad 10\frac { 1} { 3}`?

Answer 1

`253/12`

Explanation:

Convert the numbers into mixed fractions. The first `10` should be written as `40/4` and the other `10` should be written as `30/3` so we can add the numerators together:

`(40+3)/4 + (30+1)/3= 43/4 + 31/3`

Now we have another problem. The denominators don't match so we can't simply add them. Worry not. We can use common denominators. Multiply the first fraction by `3/3` and the second fraction by `4/4`

`(43xx3)/ (4xx3) + (31xx4)/(3xx4)= 129/12 + 124/12`

Now we have common denominators so we can just add the numerators:

`(129+124)/12=253/12`

Answer 2

`21 1/12`

Explanation:

`10 3/4+10 1/2`

`:.=43/4+31/3`

L.C.D. of 4 and 3`=12`

`:.=(129+124)/12`

`:.=253/12`

`:.=21 1/12`