What is the result of 1/5 ÷ 7/10?

To determine the result of ( \frac{1}{5} \div \frac{7}{10} ), it's necessary to understand how to divide fractions. When you divide by a fraction, you multiply by its reciprocal. The reciprocal of ( \frac{7}{10} ) is ( \frac{10}{7} ).

Thus, the operation can be rewritten as:

[ \frac{1}{5} \div \frac{7}{10} = \frac{1}{5} \times \frac{10}{7} ]

When multiplying these fractions together, you multiply the numerators (top numbers) and the denominators (bottom numbers):

[ \frac{1 \times 10}{5 \times 7} = \frac{10}{35} ]

Now, we can simplify ( \frac{10}{35} ). Both the numerator and the denominator can be divided by 5:

[ \frac{10 \div 5}{35 \div 5} = \frac{2}{7} ]

This shows that the correct answer is indeed ( \frac{2}{7} ). This conclusion is reached through correct fraction operations, confirming the