Question

What is the sum of `5\frac { 2} { 4} + 2\frac { 3} { 4}`?

Answer 1

See some solution processes below:

Explanation:

First, convert each number from a mixed number into an improper fraction:

`5 2/4 = 5 + 2/4 = (4/4 xx 5) + 2/4 = 20/4 + 2/4 = (20 + 2)/4 = 22/4`

`2 3/4 = 2 + 3/4 = (4/4 xx 2) + 3/4 = 8/4 + 3/4 = (8 + 3)/4 = 11/4`

We can now rewrite the expression as:

`22/4 + 11/4 = (22 + 11)/4 = 33/4`

We can now convert this improper fraction back into a mixed number:

`33/4 = (32 + 1)/4 = 32/4 + 1/4 = 8 + 1/4 = 8 1/4`

Another process is to rewrite the expression as:

`5 2/4 + 2 3/4 =>`

`5 + 2/4 + 2 + 3/4 =>`

`5 + 2 + 2/4 + 3/4 =>`

`7 + (2 + 3)/4 =>`

`7 + 5/4 =>`

`7 + (4 + 1)/4 =>`

`7 + 4/4 + 1/4 =>`

`7 + 1 + 1/4 =>`

`8 + 1/4 =>`

`8 1/4`