DIVISION OF FRACTIONS
ANSWERS AND SOLUTION
[tex] \sf \: 1. \: 2\displaystyle \frac{2}{5} \div \displaystyle \: \frac{2}{5 } \\ \\ \implies\displaystyle \frac{12}{5} \div \displaystyle \frac{2}{5} \\ \\ \implies\displaystyle \frac{12 \times 5}{5 \times 2} \\ \\ \implies\displaystyle \frac{60}{10} \\ \\ \implies \underline {\boxed { \blue6}}[/tex]
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[tex] \sf \: 2. \: \displaystyle \frac{6}{7} \: \div \displaystyle \frac{1}{2} \\ \\ \implies\displaystyle \frac{6 \times 2}{7 \times 1} \\ \\ \implies\displaystyle \frac{12}{7} \\ \\ \implies \underline {\boxed{1\displaystyle \frac{5}{7} }}[/tex]
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[tex] \sf \: 3. \: 8\displaystyle \frac{3}{9} \: \div 2\displaystyle \frac{6}{9} \\ \\ \implies\displaystyle \frac{75}{9} \div \displaystyle \frac{24}{9} \\ \\ \implies\displaystyle \frac{75 \times 9}{9 \times 24} \\ \\ \implies\displaystyle \frac{675}{216} \\ \\ \implies\displaystyle \frac{25 \times \cancel{27}}{8 \times \cancel{27}} \\ \\ \implies \underline{ \boxed{3\displaystyle \frac{1}{8} }}[/tex]
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[tex] \sf \: 4. \: 4 \: \div \: 2\displaystyle \frac{1}{3} \\ \\ \implies\displaystyle \frac{12}{7} \\ \\ \implies \underline{ \boxed{1\displaystyle \frac{5}{7} }}[/tex]
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[tex] \sf \: 5. \: \displaystyle \frac{3}{4} \: \div \: \displaystyle \frac{6}{8} \\ \\ \implies\displaystyle \frac{3}{4} \div \displaystyle \frac{3 \times 2}{4 \times 2} \\ \\ \implies\displaystyle \frac{3 \times 4}{4 \times 3} \\ \\ \implies\displaystyle \frac{12}{12} \\ \\ \implies \underline{ \boxed{1}}[/tex]
[tex]\bullet[/tex]#BrainliestBunch
