Multiplying and Dividing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to multiply fractions?

Back

Multiplying fractions involves multiplying the numerators together and the denominators together to find the product.

Front

How do you divide 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 number is 1 divided by that number, or flipping the numerator and denominator of a fraction.

Front

What is the reciprocal of a mixed number?

Back

To find the reciprocal of a mixed number, convert it to an improper fraction and then flip it.

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 that over the original denominator.

Front

What is the product of 1/2 and 3/4?

Back

The product is 3/8.

Front

If you have 3/4 of a gallon and drink 1/3 of it, how much do you drink?

Back

You drink 1/4 of a gallon.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the result of multiplying 2 1/2 by 3 1/3?

Back

The result is 8 1/3.