How do you divide one fraction by another?

How do you divide one fraction by another?

• A. Add the numerators and denominators
• B. Invert the divisor and multiply
• C. Multiply the denominators and add the numerators
• D. Subtract the numerators

Answer: (B)

To divide one fraction by another, the correct approach is to invert the divisor and multiply. This means if you have a fraction A/B being divided by another fraction C/D, you would rewrite the expression as A/B ÷ C/D. To perform the division, you first take the second fraction, C/D, and flip it upside-down to get D/C. Then, you multiply the first fraction by the inverted second fraction, resulting in A/B × D/C. This method effectively transforms the division of fractions into a multiplication problem, making it easier to solve. This rule arises from the concept of multiplying by the reciprocal, which is a fundamental principle in fraction arithmetic. Understanding this approach allows for accurate calculations when dealing with fractions in various mathematical contexts.

To divide one fraction by another, the correct approach is to invert the divisor and multiply. This means if you have a fraction A/B being divided by another fraction C/D, you would rewrite the expression as A/B ÷ C/D. To perform the division, you first take the second fraction, C/D, and flip it upside-down to get D/C. Then, you multiply the first fraction by the inverted second fraction, resulting in A/B × D/C. This method effectively transforms the division of fractions into a multiplication problem, making it easier to solve.

This rule arises from the concept of multiplying by the reciprocal, which is a fundamental principle in fraction arithmetic. Understanding this approach allows for accurate calculations when dealing with fractions in various mathematical contexts.