What is the result of 1/5 ÷ 7/10?

What is the result of 1/5 ÷ 7/10?

• A. 1/7
• B. 4/14
• C. 2 3/7
• D. 2/7

Answer: (D)

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

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