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Mathematics

Grade6

Easy

Question

Divide $3 fraction numerator 1 over denominator 5 end fraction$ by $fraction numerator 5 over denominator 8 end fraction$ .

$5 \frac{3}{25}$
$4 \frac{3}{25}$
$4 \frac{9}{25}$
$4 \frac{15}{25}$

hint Hint:

To simplify the division we convert the mixed fraction into a improper fraction and when there is a fraction in the denominator then we can multiply the reciprocal of the denominator with the numerator to find the value of the problem.

The correct answer is: $5 fraction numerator 3 over denominator 25 end fraction$

Given , $3 1 fifth divided by 5 over 8$
convert $3 1 fifth$ into a improper fraction by using
Improper fraction = $fraction numerator open parentheses text Whole number × Denominator end text close parentheses text + Numerator end text over denominator text Denominator end text end fraction$
$3 1 fifth space equals space fraction numerator left parenthesis 3 cross times 5 right parenthesis plus 1 over denominator 5 end fraction space equals 16 over 5$
Now dividing the improper fraction $16 over 5$ by $5 over 8$
we can multiply the reciprocal of the denominator with the numerator to find the value of the problem.
$16 over 5 space cross times space fraction numerator 8 over denominator 5 space end fraction space equals 128 over 25 space equals space 5 3 over 25$
Therefore , $3 1 fifth divided by 5 over 8 space equals 5 3 over 25$ .

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