Question

Use a common denominator to find negative 2/3 plus negative 4/5

Answer 1

-10/15 + -12/15 = -1 6/15. -2/3 becomes -10/15 when multiplied by 5. -4/5 becomes -12/15 when multiplied by 3.

Answer 2

`(22)/(15)` or 1
`(7)/(15)`

Explanation:

a common denominator between 3 and 5 is 15

first to get our denominator in the fraction
`(2)/(3)` to 15 we need to multiply by 5 so 2 × 5 = 10 and 3 × 5 = 15

this makes our new fraction
`(10)/(15)`

now we need to get our denominator in the fraction
`(4)/(5)` to 15 so we need to multiply by 3 so 4 × 3 = 12 and 5 × 3 = 12

this makes our new fraction
`(12)/(15)`

our new equation with common denominators is now
`(10)/(15)` +
`(12)/(15)` = coming out to be
`(22)/(15)`

to make this into a mixed fraction we know 22 only goes into 15 once with 7 left over so our mixed fraction is 1
`(7)/(15)`