Question

What is the sum of 3/7 + 1/3

Answer 1

16/21

Explanation:

1) Find the least common denominator (LCD) of 3/7,1/3. In other words, find the Least Common Multiple (LCM) of 7,3.

LCD=21

2) Make the denominators the same as the LCD

`(3*3)/(7*3) +(1*7)/(3*7)`

3) Simplify. Denominators are now the same.

`(9)/(21) +(7)/(21) \\`

4) Join the denominators

`(9+7)/(21)`

5) Simplify

`(16)/(21)`

Answer 2

`{ \tt{ (3)/(7) + (1)/(3) }} \\ \\ = { \tt{ ((3 * 3) + (7 * 1))/(21) }} \\ \\ = { \tt{ (9 + 7)/(21) }} \\ \\ = \: \dashrightarrow \: { \tt{ (16)/(21) }}`