Which one is the largest among the fractions | vedclass

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(D) To compare fractions,we can find the reciprocal of each fraction and compare their values. The fraction with the smallest reciprocal will be the l

Vedclass · Accepted Answer

$\frac{17}{160}$

Vedclass · Answer

(D) To compare fractions,we can find the reciprocal of each fraction and compare their values. The fraction with the smallest reciprocal will be the largest fraction.$1$. Reciprocal of $\frac{5}{113}$ is $\frac{113}{5} = 22.6$$2$. Reciprocal of $\frac{7}{120}$ is $\frac{120}{7} \approx 17.14$$3$. Reciprocal of $\frac{13}{145}$ is $\frac{145}{13} \approx 11.15$$4$. Reciprocal of $\frac{17}{160}$ is $\frac{160}{17} \approx 9.41$Comparing the results: $22.6 > 17.14 > 11.15 > 9.41$.Since $\frac{160}{17}$ is the smallest value among the reciprocals,$\frac{17}{160}$ is the largest fraction.

Which one is the largest among the fractions $\frac{5}{113}, \frac{7}{120}, \frac{13}{145}$ and $\frac{17}{160}$?

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