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 reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

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

Back

The product is (2*3)/(3*4) = 6/12 = 1/2.

Front

What is 4 divided by 1/2?

Back

4 ÷ (1/2) = 4 * 2 = 8.

Front

If Josh has 4/5 of a liter and shares it equally among 3 friends, how much does each friend get?

Back

Each friend gets 4/5 ÷ 3 = 4/15 of a liter.

Front

What is 1/2 ÷ 1/4?

Back

1/2 ÷ 1/4 = 1/2 * 4/1 = 2.

Front

What is the product of 9/24 and 3/4?

Back

The product is (9*3)/(24*4) = 27/96 = 9/32.

Front

How do you simplify the fraction 8/12?

Back

To simplify 8/12, divide both the numerator and denominator by their greatest common divisor, which is 4. So, 8/12 = 2/3.