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Which of the following fractions is the smallest?​1721,911,1619,1315\frac{17}{21} , \frac{9}{11}, \frac{16}{19}, \frac{13}{15}2117​,119​,1916​,1513​​​
Question

Which of the following fractions is the smallest?

1721,911,1619,1315\frac{17}{21} , \frac{9}{11}, \frac{16}{19}, \frac{13}{15}​​

A.

1721\frac{17}{21}​​

B.

1619\frac{16}{19}​​

C.

911\frac{9}{11}​​

D.

1315\frac{13}{15}​​

Correct option is A

Given:

1721,911,1619,1315\frac{17}{21} , \frac{9}{11}, \frac{16}{19}, \frac{13}{15}​​

Solution:

Here the fractions are 1721,911,1619,1315\frac{17}{21} , \frac{9}{11}, \frac{16}{19}, \frac{13}{15} in decimal forms​

1721=0.8095\frac{17}{21} =0.8095​​

911=0.8181\frac{9}{11} =0.8181​​

1619=0.8421\frac{16}{19} =0.8421​ 

1315=0.8666\frac{13}{15}=0.8666​​

The smallest decimal is 0.8095 hence 1721\frac{17}{21}​ is smallest

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