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31) \\(\frac{3}{10} div \frac{3}{2}\\) 32) \\(\frac{6}{7} div \frac{7}{…

Question

  1. \\(\frac{3}{10} div \frac{3}{2}\\) 32) \\(\frac{6}{7} div \frac{7}{4}\\)

Explanation:

Step1: Rewrite division as multiplication

$\frac{3}{10} \div \frac{3}{2} = \frac{3}{10} \times \frac{2}{3}$

Step2: Simplify and multiply fractions

$\frac{3 \times 2}{10 \times 3} = \frac{6}{30} = \frac{1}{5}$

Step1: Rewrite division as multiplication

$\frac{6}{7} \div \frac{7}{4} = \frac{6}{7} \times \frac{4}{7}$

Step2: Multiply numerators and denominators

$\frac{6 \times 4}{7 \times 7} = \frac{24}{49}$

Answer:

  1. $\frac{1}{5}$
  2. $\frac{24}{49}$