Dividing Fractions and Mixed Numbers

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is \( \frac{1}{2} \).

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, \( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \).

Front

What is the first step when dividing mixed numbers?

Back

Change mixed numbers to improper fractions before performing the division.

Front

What does 'Keep, Change, Flip' mean in dividing fractions?

Back

'Keep, Change, Flip' means to keep the first fraction, change the division sign to multiplication, and flip the second fraction to its reciprocal.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as \( \frac{5}{3} \).

Front

Convert the mixed number 2 1/2 to an improper fraction.

Back

2 1/2 can be converted to an improper fraction as follows: \( 2 \times 2 + 1 = 5 \), so it becomes \( \frac{5}{2} \).

Front

What is the result of \( \frac{1}{5} \div \frac{3}{6} \)?

Back

The result is \( \frac{2}{5} \).

Front

How do you express \( \frac{2}{3} \div \frac{4}{5} \) as a multiplication problem?

Back

It can be expressed as \( \frac{2}{3} \times \frac{5}{4} \).

Front

What is the process to convert a mixed number to an improper fraction?

Back

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

Front

What is the reciprocal of \( \frac{3}{7} \)?

Back

The reciprocal of \( \frac{3}{7} \) is \( \frac{7}{3} \).