Question : Which one is the largest among the fractions?
$\frac{5}{113},\frac{7}{120},\frac{13}{145}$ and $\frac{17}{160}$
Option 1: $\frac{5}{113}$
Option 2: $\frac{7}{120}$
Option 3: $\frac{13}{145}$
Option 4: $\frac{17}{160}$
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Correct Answer: $\frac{17}{160}$
Solution :
Given:
$\text{$\frac{5}{113}$, $\frac{7}{120}$, $\frac{13}{145}$, $\frac{17}{160}$}$
Find the approximate value.
$\Rightarrow\frac{5}{113}\approx \frac{1}{22}$
$\Rightarrow\frac{7}{120}\approx \frac{1}{17}$
$\Rightarrow\frac{13}{145}\approx \frac{1}{11}$
$\Rightarrow\frac{17}{160}\approx \frac{1}{9}$
If all numerators of the fractions are the same and denominators are different, then the fraction with the least denominator is the largest.
So, here $\frac{1}{9}$ is the largest fraction.
Therefore, $\frac{17}{160}$ is the largest.
Hence, the correct answer is $\frac{17}{160}$.
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