Answered

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

Sagot :

Luanaidn
[tex]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.[/tex]

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

[tex] \frac{2}{5} of \frac{3}{4} [/tex]

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

then numerators should be multiplied by numerators and denominators by denominators

[tex] \frac{2*3}{5*4} = \frac{6}{20} [/tex]

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

[tex] \frac{6}{20} / 2 = \frac{3}{10} [/tex]

answer is 3/10th of the box is consumed

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