Question

Which is greater: $3\frac{1}{3}\mathrm{or}\frac{33}{10}$?
(a) $3\frac{1}{3}$
(b) $\frac{33}{10}$
(c) both are equal

Answer 1

(a) $3\frac{1}{3}$

Explanation:
Let us compare $3\frac{1}{3}\mathrm{and}\frac{33}{10}\mathrm{or}\frac{10}{3}\mathrm{and}\frac{33}{10}$.
10 ⨯ 10 = 100 and 3 ​⨯ 33 = 99
Clearly, 100 > 99
∴ $\frac{10}{3}>\frac{33}{10}\mathrm{or}3\frac{1}{3}>\frac{33}{10}$