Verified Answer :

luana

\(find\ \frac{2}{5}\ \ of\ \ \frac{3}{4}\\\\ \frac{2}{5}*\frac{3}{4}=\frac{6}{20}=\frac{3}{10}\\\\ \frac{3}{10}\ of\ cereal\ were\ eaten.\)

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

\(\frac{2}{5} of \frac{3}{4}\)

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

then numerators should be multiplied by numerators and denominators by denominators

\(\frac{2*3}{5*4} = \frac{6}{20}\)

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

\(\frac{6}{20} / 2 = \frac{3}{10}\)

answer is 3/10th of the box is consumed