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Mathematics

Grade6

Easy

Question

______ is the reciprocal of $2 fraction numerator 5 over denominator 8 end fraction$ .

$\frac{8}{5}$
$5 \frac{2}{8}$
$\frac{8}{21}$
$\frac{8}{10}$

hint Hint:

The Rational Number Obtained after interchanging the Numerator and Denominator is called Reciprocal of a Rational Number. To find the reciprocal of the mixed fraction change the mixed fraction into improper fraction and convert it into reciprocal.

The correct answer is: $fraction numerator 8 over denominator 21 end fraction$

For converting mixed fraction into Improper fraction
Improper fraction = $fraction numerator open parentheses text Whole number × Denominator end text close parentheses text + Numerator end text over denominator text Denominator end text end fraction$
$2 blank fraction numerator 5 over denominator 8 end fraction equals fraction numerator 16 plus 5 over denominator 8 end fraction equals fraction numerator 21 over denominator 8 end fraction$
The reciprocal of $fraction numerator 21 over denominator 8 end fraction blank$ is $fraction numerator 8 over denominator 21 end fraction$ .

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