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Mathematics

Grade6

Easy

Question

A car runs 16 km using 1 liter of petrol. Find the distance it will cover using $2 fraction numerator 3 over denominator 4 end fraction$ liters of petrol.

28
32
44
52

hint Hint:

To find the distance covered by car using $2 fraction numerator 3 over denominator 4 end fraction$ liters of petrol ,We multiply the $2 fraction numerator 3 over denominator 4 end fraction$ with number of kilometers run by car with 1 liter of petrol.

The correct answer is: 44

Distance covered by the car using 1 liters of petrol = 16 km
So, Distance covered by the car using $2 fraction numerator 3 over denominator 4 end fraction$ liters of petrol $equals 16 cross times open parentheses 2 fraction numerator 3 over denominator 4 end fraction close parentheses$
covert to improper fraction to simplify using formula
Improper fraction = $fraction numerator open parentheses text Whole number × Denominator end text close parentheses text + Numerator end text over denominator text Denominator end text end fraction$
$equals 16 cross times open parentheses fraction numerator 4 cross times 2 plus 3 over denominator 4 end fraction close parentheses$
$equals 16 cross times open parentheses fraction numerator 8 plus 3 over denominator 4 end fraction close parentheses$
$equals 16 cross times open parentheses fraction numerator 11 over denominator 4 end fraction close parentheses$
$equals fraction numerator 176 over denominator 4 end fraction equals 44 k m$
Therefore, Distance covered by the car using $2 fraction numerator 3 over denominator 4 end fraction$ liters of petrol is 44 km.

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