Question

What is 2/3+3m/5=31/15? Please show your work! Thank You!

Answer 1

m =
`(7)/(3)`

Explanation:

Given

`(2)/(3)` +
`(3m)/(5)` =
`(31)/(15)`

Multiply through by 15 to clear the fractions

15 is the lowest common multiple of 3, 5 and 15

10 + 9m = 31 ( subtract 10 from both sides )

9m = 21 ( divide both sides by 9 )

m =
`(21)/(9)` =
`(7)/(3)`