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Mathematics

Grade6

Easy

Question

The reciprocal of $open parentheses fraction numerator 5 over denominator 2 end fraction divided by fraction numerator 12 over denominator 13 end fraction close parentheses$ is _________.

$\frac{60}{26}$
$\frac{65}{24}$
$\frac{24}{65}$
$\frac{26}{60}$

hint Hint:

Reciprocal is simply defined as the inverse of a value or a number. If n is a real number, then its reciprocal will be 1/n. It means that we have to convert the number to the upside-down form

The correct answer is: $fraction numerator 24 over denominator 65 end fraction$

$open parentheses fraction numerator 5 over denominator 2 end fraction divided by fraction numerator 12 over denominator 13 end fraction close parentheses equals fraction numerator 5 over denominator 2 end fraction cross times fraction numerator 13 over denominator 12 end fraction equals fraction numerator 65 over denominator 24 end fraction$
The reciprocal of $fraction numerator 65 over denominator 24 end fraction$ is $fraction numerator 24 over denominator 65 end fraction$
$therefore$ The reciprocal of $open parentheses fraction numerator 5 over denominator 2 end fraction divided by fraction numerator 12 over denominator 13 end fraction close parentheses$ is $fraction numerator 24 over denominator 65 end fraction$

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