Find the greatest fraction among the fraction | vedclass

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Question

(D) We can express each fraction as $1 - \frac{1}{n}$:$\frac{17}{18} = 1 - \frac{1}{18}$$\frac{21}{22} = 1 - \frac{1}{22}$$\frac{26}{27} = 1 - \frac{1

Vedclass · Accepted Answer

$\frac{36}{37}$

Vedclass · Answer

(D) We can express each fraction as $1 - \frac{1}{n}$:$\frac{17}{18} = 1 - \frac{1}{18}$$\frac{21}{22} = 1 - \frac{1}{22}$$\frac{26}{27} = 1 - \frac{1}{27}$$\frac{36}{37} = 1 - \frac{1}{37}$Since the numerators are the same $(1)$,the fraction with the largest denominator is the smallest value.Thus,$\frac{1}{18} > \frac{1}{22} > \frac{1}{27} > \frac{1}{37}$.Subtracting these from $1$,the smallest value subtracted results in the largest fraction:$1 - \frac{1}{18} Therefore,the greatest fraction is $\frac{36}{37}$.

Find the greatest fraction among the fractions $\frac{17}{18}, \frac{21}{22}, \frac{26}{27}$ and $\frac{36}{37}$?

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