Question

Does anyone one how to solve this problem

Answer 1

`( (2)/(3) - (1)/(6) )`÷
`( (2)/(5) - (1)/(3) )`
The first thing you must do it to solve the fractions inside the parentheses first

`(2)/(3) - (1)/(6) = (4)/(6) - (1)/(6)` which is
`(3)/(6) or (2)/(3)`because you must get a common denominator in order to solve. The common denominator is 6. So you must multiply in order to get 6.
`(2)/(3) *6= (3)/(6)` Then you do the other fraction:
`(2)/(5) - (1)/(3)= (6)/(15) - (5)/(15)` which is
`(1)/(15)` because 15 is the common denominator and you must multiply the denominator to get 15, thus, you must multiply by the same amount for the numerator. So now it is
`(3)/(6)`÷
`(1)/(15)` but when dividing, you just need to flip-flop the second fraction and then multiply across. Now it is
`(3)/(6) * (15)/(1) = (45)/(6)` But to simplify, you find a common factor which is 3.
45÷3=15 and 6÷3=2 which is now
`(15)/(2)`
You answer is C)
`(15)/(2)`