Which of the following fractions is the greatest?

Correct option is C

Given:

Fractions: $$\frac{8}{9}, \quad \frac{17}{20}, \quad \frac{37}{40}, \quad \frac{22}{25}$$​​

Concept  Used:

Convert each fraction to decimal to compare: Decimal value = $$\frac{Numerator }{ Denominator}$$​​

Solution:

$$\begin{aligned}&\frac{8}{9} = 0.888\ldots \\\ \\&\frac{17}{20} = 0.85 \\\ \\&\frac{37}{40} = 0.925 \\\ \\&\frac{22}{25} = 0.88 \\\ \\\end{aligned}$$​ 

Greatest fraction = $$\frac{37}{40} = 0.925$$​​