Question

Diana works at a clothing store. She sold 1/3 of the total shirts on Tuesday and 5/12of the total number of blue shirts on Wednesday. What fraction of blue shirts did she sell on Tuesday and Wednesday?

Answer 1

The fraction of blue shirts that she sold is
`(3)/(4)`

Explanation:

She sold:

1/3 on Tuesday.

5/12 on Wednesday.

What fraction of blue shirts did she sell on Tuesday and Wednesday?

Sum of fractions.

The lesser common multiplier between 3 and 12, which is 12.

So

`(1)/(3) + (5)/(12) = ((12*1)/(3) + (12*5)/(12))/(12) = (4 + 5)/(12) = (9)/(12) = (3)/(4)`

The fraction of blue shirts that she sold is
`(3)/(4)`