Question

Nancy completes $\frac{6}{11}$ of a painting. Choose the equivelent fraction of the part of the painting she has completed.

• A. $\frac{30}{44}$
• B. $\frac{24}{44}$
• C. $\frac{12}{33}$
• D. $\frac{24}{33}$

Answer 1

The correct option is B $\frac{24}{44}$

An equivalent fraction of $\frac{6}{11}$ can be obtained by multiplying both the numerator and the denominator with the same number:
$\frac{6}{11}=\frac{6\times 2}{11\times 2}=\frac{12}{22}\frac{6}{11}=\frac{6\times 3}{11\times 3}=\frac{18}{33}\frac{6}{11}=\frac{6\times 4}{11\times 4}=\frac{24}{44}\frac{6}{11}=\frac{6\times 5}{11\times 5}=\frac{30}{55}$
Among the options, only $\frac{24}{44}$ is the equivalent fraction of $\frac{6}{11}$.