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

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

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

Back

1/2 * 3/4 = 3/8.

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction is the same as multiplying by its reciprocal. For example, dividing by 1/2 is the same as multiplying by 2.

Front

What is the quotient of 3/4 divided by 1/2?

Back

(3/4) ÷ (1/2) = (3/4) * (2/1) = 3/2 or 1 1/2.

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 GCD of 8 and 12?

Back

The GCD of 8 and 12 is 4.

Front

What is 5 ÷ 1/5?

Back

5 ÷ 1/5 = 5 * 5 = 25.

Front

What is the product of 2/3 and 3/5?

Back

2/3 * 3/5 = 6/15, which simplifies to 2/5.

Front

What is the quotient of 6/10?

Back

6/10 simplifies to 3/5.