Which is larger, the decimal number $0.68$ or the fraction $\frac{2}{3}$ ?

easy MCQ 1 mark Class 7 · Mathematics · Comparing Quantities

Answer

0.68

is larger

The correct answer is $0.68$ is larger — Therefore, the decimal $0.68$ is greater than the fraction $\frac{2}{3}$ .

Step-by-step solution

First, write the fraction $\frac{2}{3}$ as a decimal by dividing $2$ by $3$ .
$2 d i v 3 = 0. \overline{6}$ , which is approximately $0.666 \overline{6}$ .
Compare $0.68$ with $0.666 \overline{6}$ ; since $0.68$ is greater than $0.666 \overline{6}$ , $0.68$ is the larger number.
Therefore, the decimal $0.68$ is greater than the fraction $\frac{2}{3}$ .

Common mistake: Confusing the value of

\frac{2}{3}

with

0.6

instead of

0.666 \dots

Concept tested: Comparing decimals and fractions