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Mathematics

Grade6

Easy

Question

The quotient when the sum of $fraction numerator 2 over denominator 3 end fraction$ and $fraction numerator 4 over denominator 5 end fraction$ is divided by the product of $fraction numerator 1 over denominator 4 end fraction text end text$ and $fraction numerator 4 over denominator 7 end fraction$ is ______.

$\frac{7}{9}$
$\frac{154}{15}$
$\frac{15}{154}$
$\frac{25}{154}$

hint Hint:

When we do division between two fraction, we use reciprocal method.

The correct answer is: $fraction numerator 154 over denominator 15 end fraction$

The sum of $fraction numerator 2 over denominator 3 end fraction$ and $fraction numerator 4 over denominator 5 end fraction equals fraction numerator 2 over denominator 3 end fraction plus fraction numerator 4 over denominator 5 end fraction equals fraction numerator left parenthesis 10 plus 12 right parenthesis over denominator 15 end fraction equals fraction numerator 22 over denominator 15 end fraction$
The product of $fraction numerator 1 over denominator 4 end fraction$ and $fraction numerator 4 over denominator 7 end fraction equals fraction numerator 1 over denominator 4 end fraction cross times fraction numerator 4 over denominator 7 end fraction equals fraction numerator 1 over denominator 7 end fraction$
Now divide both the numbers.
$fraction numerator 22 over denominator 15 end fraction divided by fraction numerator 1 over denominator 7 end fraction equals fraction numerator 22 over denominator 15 end fraction cross times fraction numerator 7 over denominator 1 end fraction equals fraction numerator 154 over denominator 15 end fraction$

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