Question

How do you solve `7\frac { 3} { 7}+ 5\frac { 2} { 3}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(7 + 3/7) + (5 + 2/3) =>`

`7 + 3/7 + 5 + 2/3 =>`

`7 + 5 + 3/7 + 2/3 =>`

`12 + 3/7 + 2/3`

To add the fractions we must put them over a common denominator by multiplying each fraction by the appropriate form of `1`:

`12 + (3/3 xx 3/7) + (7/7 xx 2/3) =>`

`12 + (3 xx 3)/(3 xx 7) + (7 xx 2)/(7 xx 3) =>`

`12 + 9/21 + 14/21 =>`

`12 + (9 + 14)/21 =>`

`12 + 23/21`

Now, we can convert the improper fraction to a mixed number:

`12 + (21 + 2)/21 =>`

`12 + 21/21 + 2/21 =>`

`12 + 1 + 2/21 =>`

`13 + 2/21 =>`

`13 2/21`