What is 7 times as much as the sum of 1/3 + 4/5

Lets write the problem info into an equation and solve step by step:

7 (1/3 + 4/5)

the minimum common multiple of 3 and 5 is 15, so we multiply and divide the fractions by a proper number to convert them to be divided by 15 so is easier to add them:

(1/3) (5/5) = (1*5) / (3*5) = 5/15

(4/5) (3/3) = (4*3) / (5*3) = 12/15

so we substitute in the original equation:

7 (1/3 + 4/5)

= 7 (5/15 + 12/15)

= 7 (17/15)

= (7*17) / 15

= 119/15