comparison of two fractions and their difference
Check the final answer first, then review the worked steps.
Problem
comparison of two fractions and their difference
Step-by-step solution
To compare $\frac{2}{3}$ and $\frac{4}{7}$, find a common denominator, which is 21. $\frac{2}{3} = \frac{14}{21}$ and $\frac{4}{7} = \frac{12}{21}$. Thus, $\frac{2}{3}$ is larger. To find the difference, calculate $\frac{14}{21} - \frac{12}{21} = \frac{2}{21}$.
Answer
$\frac{2}{3}$ is larger than $\frac{4}{7}$ by $\frac{2}{21}$.