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Which of the following fractions is the largest?​28,724,5176,8285\frac{2}{8} , \frac{7}{24} , \frac{51}{76} , \frac{82}{85}82​,247​,7651​,8582​​​
Question

Which of the following fractions is the largest?

28,724,5176,8285\frac{2}{8} , \frac{7}{24} , \frac{51}{76} , \frac{82}{85}​​

A.

8285\frac{82}{85}​​

B.

724\frac{7}{24}​​

C.

28\frac{2}{8}​​

D.

5176\frac{51}{76}​​

Correct option is A

Given:
The given fractions are: 28,724,5176,8285 \frac{2}{8},\frac{7}{24},\frac{51}{76},\frac{82}{85}​​
Solution:
28=0.2500 724=0.2917 5176=0.6711 8285=0.9647 \frac{2}{8} = 0.2500\\\ \\\frac{7}{24} = 0.2917\\\ \\\frac{51}{76} = 0.6711\\\ \\\frac{82}{85} = 0.9647\\\ \\

Comparing these values, we find that 8285\frac{82}{85}​is the largest fraction.

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