Question #659dc

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Question #659dc

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Answer 1 · 2017-02-28T19:37:39

$12/8=3/2$

Explanation:

To add 2 fractions we require the $color(blue)"denominators"$ to be the same value.

In this case they are, both 8

We can therefore $color(blue)"add the numerators"$ while leaving the denominator as it is.

$rArr5/8+7/8$

$=(5+7)/8$

$=12/8$

We can $color(blue)"simplify"$ the fraction by dividing the numerator/denominator by the $color(blue)"highest common factor"$ of 12 and 8, which is 4

$rArr12/8=(12÷4)/(8÷4)=3/2larrcolor(red)" in simplest form"$

This process is normally done using $color(blue)"cancelling"$

$rArr12/8=cancel(12)^3/cancel(8)^2=3/2larrcolor(red)" in simplest form"$

A fraction is in $color(blue)"simplest form"$ when no other factor but 1 divides into the numerator/denominator.

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Question #659dc

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