Question

There are 3/4 box of cereal remaining. You eat 2/5 of the remaing cereal. What fraction of the box do you eat?

Answer 1

`find\ (2)/(5)\ \ of\ \ (3)/(4)\\\\ (2)/(5)*(3)/(4)=(6)/(20)=(3)/(10)\\\\ (3)/(10)\ of\ cereal\ were\ eaten.`

Answer 2

the box contains cereal. Only 3/4 of the box has cereal remaining.

From the remaining cereal fraction, 2/5th is consumed.

then the portion of cereal consumed is

`(2)/(5) of (3)/(4)`

when the 'of' function is used it means the fractions should be multiplied

then numerators should be multiplied by numerators and denominators by denominators

`(2*3)/(5*4) = (6)/(20)`

this can be further simplified by dividing both numerator and denominator by a factor common to both , in this case both 6 and 20 are divisible by 2

`(6)/(20) / 2 = (3)/(10)`

answer is 3/10th of the box is consumed