The difference between 1 frac{3}{16} and its | vedclass

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(D) First,convert the mixed fraction $1 \frac{3}{16}$ into an improper fraction: $1 \frac{3}{16} = \frac{16 	imes 1 + 3}{16} = \frac{19}{16}$.The rec

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(D) First,convert the mixed fraction $1 \frac{3}{16}$ into an improper fraction: $1 \frac{3}{16} = \frac{16 	imes 1 + 3}{16} = \frac{19}{16}$.The reciprocal of $\frac{19}{16}$ is $\frac{16}{19}$.Now,calculate the difference between the number and its reciprocal:Difference $= \frac{19}{16} - \frac{16}{19}$.Find a common denominator,which is $16 	imes 19 = 304$:Difference $= \frac{19 	imes 19 - 16 	imes 16}{304} = \frac{361 - 256}{304} = \frac{105}{304}$.Since $\frac{105}{304}$ is not equal to any of the given options,the correct answer is 'None of these'.

The difference between $1 \frac{3}{16}$ and its reciprocal is:

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