# Test: Fractions II - Challenging

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Question 1:   Solve: $\left(\frac{1}{4}-\frac{1}{5}\right)\cdot \left(\frac{2}{3}-\frac{1}{4}\right)$
$\frac{5}{48}$
$\frac{1}{48}$
$\frac{5}{20}$
$\frac{5}{12}$
Question 2:   Solve: $\left(\frac{12}{15}-3\frac{7}{8}\right)÷\left(\frac{2}{5}-\frac{8}{9}\right)$
$-1\frac{31}{176}$
$5\frac{123}{176}$
$6\frac{1}{5}$
$6\frac{51}{176}$
Question 3:   Solve: $-3\frac{4}{15}-2\frac{7}{30}+5\frac{19}{60}$
$-\frac{1}{5}$
$-\frac{13}{30}$
$-\frac{11}{60}$
$-\frac{1}{6}$
Question 4:   Solve: $4\frac{7}{18}-3\frac{5}{9}+1\frac{1}{3}$
$2\frac{1}{6}$
$1\frac{2}{3}$
$2$
$2\frac{1}{3}$
Question 5:   Solve: $7\frac{7}{5}\cdot \frac{13}{21}-\frac{1}{3}\cdot 1\frac{1}{5}$
$4\frac{5}{6}$
$5\frac{1}{7}$
$4\frac{4}{5}$
$5\frac{11}{21}$
Question 6:   Solve: $\left(1\frac{3}{8}-\frac{3}{4}\right)\left(\frac{2}{25}-\frac{4}{5}\right)$
$-\frac{3}{10}$
$-\frac{9}{20}$
$-\frac{1}{2}$
$\frac{17}{25}$
Question 7:   Solve: $-\left(\frac{5}{8}+\frac{1}{4}\right)\left(\frac{5}{6}-\frac{6}{7}\right)$
$-\frac{1}{8}$
$\frac{5}{24}$
$\frac{1}{48}$
$-\frac{1}{7}$
Question 8:   Solve: $\left(2\frac{1}{3}+1\frac{1}{5}+\frac{2}{15}\right):5$
$\frac{4}{5}$
$\frac{13}{15}$
$\frac{11}{15}$
$\frac{2}{3}$
Question 9:   Solve: $\sqrt{\frac{4}{9}}+\sqrt{\frac{1}{9}}-\sqrt{\frac{1}{3}+1\frac{4}{9}}$
$-\frac{1}{9}$
$\frac{2}{9}$
$0$
$-\frac{1}{3}$
Question 10:   Solve: ${\left(\frac{1}{5}\right)}^{2}+{\left(\frac{2}{5}\right)}^{2}-{\left(\frac{3}{5}\right)}^{2}$
$-\frac{4}{25}$
$0$
$-\frac{1}{5}$
$\frac{1}{5}$