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)