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Mathematics

Grade6

Easy

Question

. The product of two fractions is $2 fraction numerator 1 over denominator 4 end fraction$ . If one of the fractions is $1 fraction numerator 1 over denominator 4 end fraction$ , then find the other number.

$1 \frac{1}{5}$
$1 \frac{4}{5}$
$2 \frac{4}{5}$
$2 \frac{1}{5}$

hint Hint:

if the product of two fractions and one of the fraction is known , to find the other fraction we divide product by known fraction . To simplify convert the mixed fractions to improper fractions.

The correct answer is: $1 fraction numerator 4 over denominator 5 end fraction$

Mixed fraction to Improper fraction = $fraction numerator open parentheses text Whole number × Denominator end text close parentheses text + Numerator end text over denominator text Denominator end text end fraction$
The product of fractions = $2 1 fourth equals space fraction numerator left parenthesis 2 cross times 4 right parenthesis plus 1 over denominator 4 end fraction space equals space 9 over 4$
One of the fractions is $1 1 fourth space equals fraction numerator left parenthesis 4 cross times 1 right parenthesis plus 1 over denominator 4 end fraction equals 5 over 4$
$therefore$ The required fraction is $equals fraction numerator 9 over denominator 4 end fraction divided by fraction numerator 5 over denominator 4 end fraction$
we can multiply the reciprocal of the denominator with the numerator to find the value of the problem.
$equals fraction numerator 9 over denominator 4 end fraction cross times fraction numerator 4 over denominator 5 end fraction equals fraction numerator 9 over denominator 5 end fraction equals 1 fraction numerator 4 over denominator 5 end fraction$ .
Therefore, the unknown fraction is $1 4 over 5$ .

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