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Mathematics

Grade6

Easy

Question

In a juice shop, if a man prepared $1 fraction numerator 1 over denominator 4 end fraction$ liters of juice from 1 kg oranges, then find the number of kilograms of oranges he needs to prepare $20 fraction numerator 1 over denominator 4 end fraction$ liters of juice.

$16 \frac{2}{5}$ kg
$16 \frac{1}{5}$ kg
$16 \frac{3}{5}$ kg
$16 \frac{4}{5}$ kg

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: $16 fraction numerator 1 over denominator 5 end fraction$ kg

We have given a man can prepared $1 1 fourth$ litre from 1kg oranges.
The quantity of juice prepared from 1 kg oranges = $1 fraction numerator 1 over denominator 4 end fraction$
The quantity of oranges he needs to prepare $20 fraction numerator 1 over denominator 4 end fraction$ of juice = $20 fraction numerator 1 over denominator 4 end fraction divided by 1 fraction numerator 1 over denominator 4 end fraction$ kg
$20 fraction numerator 1 over denominator 4 end fraction divided by 1 fraction numerator 1 over denominator 4 end fraction equals fraction numerator 81 over denominator 4 end fraction cross times fraction numerator 4 over denominator 5 end fraction equals 16 fraction numerator 1 over denominator 5 end fraction$ kg

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