Question

1. \\(\frac{2}{8} \div \frac{3}{6} =\\)\
2. \\(\frac{1}{5} \div \frac{2}{7} =\\)\
3. \\(\frac{3}{7} \div \frac{4}{5} =\\)\
4. \\(\frac{2}{8} \div \frac{3}{9} =\\)\
5. \\(\frac{6}{8} \div \frac{7}{8} =\\)\
6. \\(\frac{7}{9} \div \frac{7}{8} =\\)\
7. \\(\frac{4}{8} \div \frac{3}{7} =\\)\
8. \\(\frac{4}{5} \div \frac{6}{7} =\\)

Explanation:

Problem 3: $\boldsymbol{\frac{2}{8} \div \frac{3}{6}}$

Step1: Recall fraction division rule

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, $\frac{2}{8} \div \frac{3}{6} = \frac{2}{8} \times \frac{6}{3}$.

Step2: Simplify and multiply

Simplify $\frac{6}{3}=2$ and $\frac{2}{8}=\frac{1}{4}$. Then multiply: $\frac{1}{4} \times 2 = \frac{2}{4}=\frac{1}{2}$.

Step1: Apply fraction division rule

$\frac{1}{5} \div \frac{2}{7} = \frac{1}{5} \times \frac{7}{2}$.

Step2: Multiply numerators and denominators

Multiply numerators: $1\times7 = 7$; multiply denominators: $5\times2 = 10$. So the result is $\frac{7}{10}$.

Step1: Use fraction division formula

$\frac{3}{7} \div \frac{4}{5} = \frac{3}{7} \times \frac{5}{4}$.

Step2: Calculate the product

Numerators: $3\times5 = 15$; denominators: $7\times4 = 28$. So it is $\frac{15}{28}$.

Answer:

$\frac{1}{2}$

Problem 4: $\boldsymbol{\frac{1}{5} \div \frac{2}{7}}$