Dividing Fractions with Unlike Denominators

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is a reciprocal?

Back

A reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of \( \frac{a}{b} \) is \( \frac{b}{a} \).

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is the result of \( \frac{3}{4} \div \frac{1}{5} \)?

Back

The result is \( 3 \frac{3}{4} \) or \( \frac{15}{4} \).

Front

What is the result of \( \frac{8}{9} \div \frac{4}{9} \)?

Back

The result is 2.

Front

What is the result of \( \frac{1}{2} \div \frac{1}{8} \)?

Back

The result is 4.

Front

What is the result of \( \frac{9}{10} \div \frac{4}{10} \)?

Back

The result is \( 2 \frac{1}{4} \) or \( \frac{9}{4} \).

Front

What is the result of \( \frac{3}{5} \div \frac{1}{3} \)?

Back

The result is \( 1 \frac{4}{5} \) or \( \frac{19}{5} \).

Front

What is the importance of having a common denominator when dividing fractions?

Back

When dividing fractions, a common denominator is not necessary, but understanding how to convert fractions to have a common denominator is essential for addition and subtraction.

Front

How can you check your answer after dividing fractions?

Back

You can check your answer by multiplying the result by the divisor and ensuring it equals the dividend.