Question

Which of the fractions written on the balls represents the decimal equivalent to $\frac{36}{10}$?

• A. $\frac{9}{5}$
• B. $\frac{11}{2}$
• C. $\frac{18}{5}$
• D. $\frac{15}{2}$

Answer 1

The correct option is C $\frac{18}{5}$

Given fraction = $\frac{36}{10}$

Since the denominator is 10, we will shift the decimal point one place to the left.

$\therefore \frac{36}{10}=3.6$

Fraction written on the yellow ball = $\frac{9}{5}$
$⟹\frac{9}{5}=\frac{9}{5}\times \frac{2}{2}=\frac{18}{10}$

$⟹\frac{18}{10}=1.8$

Fraction written on the orange ball = $\frac{11}{2}$
$⟹\frac{11}{2}=\frac{11}{2}\times \frac{5}{5}=\frac{55}{10}$

$⟹\frac{55}{10}=5.5$

Fraction written on the green ball = $\frac{18}{5}$
$⟹\frac{18}{5}=\frac{18}{5}\times \frac{2}{2}=\frac{36}{10}$

$⟹\frac{36}{10}=3.6$

Fraction written on the pink ball = $\frac{15}{2}$
$⟹\frac{15}{2}=\frac{15}{2}\times \frac{5}{5}=\frac{75}{10}=7.5$


Hence, the fraction written on the green ball represents the same decimal value as the fraction $\frac{36}{10}.$