3(a/7)+7(a/3)

So what is 7/3 + 3/7 ?

58/21 or 2 16/21

Right!

To simplify the expression 3(a/7) + 7(a/3), we can start by finding a common denominator for the two terms. The least common multiple (LCM) of 7 and 3 is 21.

So, we multiply the first term, 3(a/7), by 3/3 (which is equal to 1) to make the denominator 21:

3(a/7) * (3/3) = 9(a/21)

Similarly, we multiply the second term, 7(a/3), by 7/7:

7(a/3) * (7/7) = 49(a/21)

Now, the expression becomes:

9(a/21) + 49(a/21)

Since the denominators are now the same, we can combine the two terms:

9(a/21) + 49(a/21) = (9a + 49a) / 21

Simplifying the numerators:

9a + 49a = 58a

So, the simplified expression is:

(58a/21)