Multiplying and Dividing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

How do you multiply fractions?

Back

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

Front

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

Back

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

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you divide fractions?

Back

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

Front

What is the reciprocal of 3/4?

Back

The reciprocal of 3/4 is 4/3.

Front

If you have 2/3 of a pizza and you want to share it with 2 friends, how much does each person get?

Back

Each person gets (2/3) ÷ 3 = 2/9 of the pizza.

Front

What is 5/6 x 3/4 in simplest form?

Back

5/6 x 3/4 = 15/24, which simplifies to 5/8.

Front

How many 1/4 cups are in 9 cups?

Back

9 ÷ (1/4) = 9 x 4 = 36.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 1 1/2.