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Mathematics

Grade6

Easy

Question

Divide $3 fraction numerator 1 over denominator 3 end fraction$ by $4 fraction numerator 3 over denominator 4 end fraction$ .

$\frac{50}{57}$
$\frac{40}{57}$
$\frac{60}{57}$
$\frac{20}{57}$

hint Hint:

Mixed fraction is a form of a fraction which is defined as the ones having a fraction and a whole number

The correct answer is: $fraction numerator 40 over denominator 57 end fraction$

We will first change the mixed fraction into a simple fraction and then divide both fraction.
$3 fraction numerator 1 over denominator 3 end fraction divided by 4 fraction numerator 3 over denominator 4 end fraction equals fraction numerator 3 cross times 3 plus 1 over denominator 3 end fraction divided by fraction numerator 4 cross times 4 plus 3 over denominator 4 end fraction$
$equals fraction numerator 10 over denominator 3 end fraction divided by fraction numerator 19 over denominator 4 end fraction equals fraction numerator 10 over denominator 3 end fraction cross times fraction numerator 4 over denominator 19 end fraction equals fraction numerator 40 over denominator 57 end fraction$

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