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Mathematics

Grade6

Easy

Question

Luke wants to fill $8 fraction numerator 3 over denominator 4 end fraction$ kg of rice equally in 5 bags. Find the number of kilograms of rice each bag contains.

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

hint Hint:

To Find the number of kilograms of rice each bag, we divide the the total quantity of rice by total number of bags.

The correct answer is: $1 fraction numerator 3 over denominator 4 end fraction$ kg

Total quantity of rice = $8 3 over 4 space equals space fraction numerator left parenthesis 4 cross times 8 right parenthesis plus 3 over denominator 4 end fraction space equals 35 over 4$ kg ; total number of bags = 5
Each bag contains $8 fraction numerator 3 over denominator 4 end fraction divided by 5$ kg rice
$8 fraction numerator 3 over denominator 4 end fraction divided by 5 equals fraction numerator 35 over denominator 4 end fraction cross times fraction numerator 1 over denominator 5 end fraction equals fraction numerator 7 over denominator 4 end fraction equals 1 fraction numerator 3 over denominator 4 end fraction$ kg
Therefore, the number of kilograms of rice each bag is $1 3 over 4$ kg.

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