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How do you simplify #2/3 div 4/5#?

Answer 1

To simplify ( \frac{2}{3} \div \frac{4}{5} ), multiply the first fraction by the reciprocal of the second fraction. This results in ( \frac{2}{3} \times \frac{5}{4} = \frac{10}{12} ), which simplifies to ( \frac{5}{6} ).

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Answer 2

Eli Assouline

#5/6#

dividing by a fraction

Apply the reciprocal multiplier:

Flip the following fraction and change the divide to multiply:

#2/3 div 4/5#

#= 2/3 xx 5/4#

#= cancel2/3 xx 5/cancel4^2#

#=5/6#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.