[tex]8 \div \frac{32}{35} = \frac{8}{1} \div \frac{32}{35} = \frac{8}{1} \times \frac{35}{32} = \frac{8 \times 35}{1 \times 32} = \frac{1 \times 35}{1 \times 4 } = \frac{35}{4} = 8 \frac{3}{4} [/tex]
[tex] \frac{14}{15} \div 42 = \frac{14}{15} \div \frac{42}{1} = \frac{14}{15} \times \frac{1}{42} = \frac{14 \times 1}{15 \times 42} = \frac{1 \times 1}{15 \times 3} = \frac{1}{45} [/tex]
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[tex]8 \div \frac{32}{35} = \frac{8}{1} \div \frac{32}{35} = \frac{8}{1} \times \frac{35}{32} = \frac{8 \times 35}{1 \times 32} = \frac{1 \times 35}{1 \times 4 } = \frac{35}{4} = 8 \frac{3}{4} [/tex]
[tex] \frac{14}{15} \div 42 = \frac{14}{15} \div \frac{42}{1} = \frac{14}{15} \times \frac{1}{42} = \frac{14 \times 1}{15 \times 42} = \frac{1 \times 1}{15 \times 3} = \frac{1}{45} [/tex]