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What is the difference between the biggest and the smallest fraction among 23,34,45\frac{2}{3},\frac{3}{4},\frac{4}{5}32​,43​,54​​ and 56\frac{5}
Question

What is the difference between the biggest and the smallest fraction among 23,34,45\frac{2}{3},\frac{3}{4},\frac{4}{5}​ and 56\frac{5}{6}​?

A.

120\frac{1}{20}​​

B.

130\frac{1}{30}​​

C.

112\frac{1}{12}​​

D.

16\frac{1}{6}​​

Correct option is D

Given:

23,34,45,56\frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}​​

Solution:

230.6667 34=0.75 45=0.8 560.8333\frac{2}{3} \approx 0.6667 \\ \ \\\frac{3}{4} = 0.75 \\ \ \\\frac{4}{5} = 0.8 \\ \ \\\frac{5}{6} \approx 0.8333​​

Largest Fraction: 560.8333\frac{5}{6} \approx 0.8333​​

Smallest Fraction: 230.6667\frac{2}{3} \approx 0.6667​​

Difference = 5623=5646=16\frac{5}{6} - \frac{2}{3} = \frac{5}{6} - \frac{4}{6} = \frac{1}{6}​​

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