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How would you divide 3 1/8 by 2 2/9?

3 years ago

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ยท

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Ray Mueller


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2 Answers

S
Seema Siddiqui

Firstly we would convert the mixed fractions into improper fractions, i.e. (25/8) / (20/9)

Secondly we know that when dividing 2 fractions is same as multiplying the first fraction with the reciprocal of the second fraction, hence we get (25/8) x (9/20).

Thirdly we multiply the 2 numerators and 2 denominators to form a fraction, i.e. (25 x 9) / (8x20) = 225 / 160

Thus the answer would be 1.40635 using calculator, or the answer can be a fraction 45 / 32 since both the numerator and denominator each are divisible by 5 or the answer can be mixed fraction 1(13/32).

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Plamena Marinova

First you would need to turn the mixed numbers into improper fractions. In order to do this you have to multiply the denominator by the whole number and add the numerator to this. Your answer goes over the numerator to get an improper fraction. 8x3 + 1 = 9/8. and 9x2 +2 =. 20/9. Then in order to divide them you want to times the numerator of the first improper fraction by the denominator of the second improper fraction (9 x 9 = 81) This will give the numerator of your answer. Then multiply the denominator of the first improper fraction by the numerator of the second to get the denominator of your answer (8 x 20 = 160) . This gives you your answer 81/160. Simplify if possible by finding a common multiple. In this case there is not one. SO the final answer is 81/160

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