Question

At Diana's Closet, 1/6 of the clothes are white and another 7/12 are black. What fraction of the clothes is either black or white?

Answer 1

`(3)/(4)` of Diana's clothes are black or white

Explanation:

In order to find the total amount of Diana's clothes that are black or white, you need to add the fractional amount of clothes that are white (1/6) and the fractional amount that are black (7/12). But, when you add fractions they need to have the same denominator, so you need to find the least common multiple of both denominators, in this case '12':

`(1)/(6)=(2)/(12)`

So,
`(2)/(12)+(7)/(12)=(9)/(12)`

Now, simplify:
`(9)/(12)=(3)/(4)`