Question

Reduce To Simplest Form.

-3/5 + 1/3 =​

Answer 1

`(-3)/(5)+(1)/(3)` =
`(-4)/(15)`

Explanation:

To add these two fraccions we need them to have the same denominator. In order to do so, we calculate the least common multiple (LCM) by factorizing the original denominators, selecting both common (raised to the highest power) and not common factors.

LCM (3, 5) = 3 · 5 = 15

Now we rewrite the two fractions with their new denominator (15) and we find the numerator by dividing the new denominator with the old one and multiplying that result by the old numerator. Thus:

• To calculate the numerator of the 1st fraction ->
  `(15/5)*(-3) = -9`
• To calculate the numerator of the 2nd fraction ->
  `(15/3)*1 = 5`

Getting this:
`(-9)/(15) +(5)/(15)` =
`(-4)/(15)`

I hope this was helpful.

Answer 2

Good evening ,

Answer:

-3/5 + 1/3 =​ -4/15

Explanation:

-3/5 + 1/3 =​(-3/5)×(3/3) + (1/3)×(5/5) = (-3×3)/(5×3) + (1×5)/(3×5)​

= (-9/15)+(5/15)

= (-9+5)/15

= -4/15

:)