Is 41 divided by 50 closer to 9 divided by 11 or 10 divided by 11?

Answer 1

9/11

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Here's why (the workings):

A division is the same as a fraction with the dividend as the numerator and the divisor as the denominator

→ 41 ÷ 50 = 41/50

→ 9 ÷ 11 = 9/11

→ 10 ÷ 11 = 10/11

To compare fractions, make them equivalent fractions with the same denominator and compare the numerators:

41/50 - (41×11)/(50×11) = 451/550

9/11 = (9×50)/(11×50) = 450/550

10/11 = (10×50)/(11×50) = 500/550

The difference between 451 and 450 is 1;

the difference between 500 and 451 is 49;

Therefore 451/550 is closer to 450/550 than to 500/550

→ 41/50 is close to 9/11 than to 10/11

→ 41 ÷ 50 is closer to 9 ÷ 11 than to 10 ÷ 11

41 divided by 50 is closer to 9 divided by 11