Dividing Fractions

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 the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is the result of \( \frac{1}{2} \div \frac{2}{3} \)?

Back

The result is \( \frac{3}{4} \) after multiplying by the reciprocal.

Front

How do you simplify the fraction \( \frac{12}{20} \)?

Back

Divide both the numerator and denominator by their greatest common divisor, which is 4, resulting in \( \frac{3}{5} \).

Front

What is the first step in dividing a fraction by a whole number?

Back

Convert the whole number to a fraction by placing it over 1.

Front

If Patrick cuts \( \frac{1}{4} \) inch pieces from an 8 inch piece, how many pieces can he cut?

Back

He can cut 32 pieces, calculated by dividing 8 by \( \frac{1}{4} \) (which is the same as multiplying by 4).

Front

What is the relationship between division and multiplication in fraction problems?

Back

Division of fractions can be transformed into multiplication by using the reciprocal.

Front

How do you express \( \frac{10}{12} \div \frac{1}{2} \) in simplest form?

Back

The result is \( \frac{20}{12} \) or simplified to \( 1 \frac{2}{3} \).

Front

What is a common mistake when dividing fractions?

Back

A common mistake is to multiply the fractions directly instead of using the reciprocal.