Multiplying Fractions and Mixed Numbers

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) * (c/d) = (a*c)/(b*d).

Front

What is a mixed number?

Back

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

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. For example, 1 1/2 = (1*2 + 1)/2 = 3/2.

Front

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

Back

1/3 * 1/4 = 1/12.

Front

If George has 1/3 pan of brownies and eats 1/4 of them, what fraction did he eat?

Back

George ate 1/12 of the pan of brownies.

Front

What is the product of 2/5 and 3/4?

Back

2/5 * 3/4 = 6/20 = 3/10 after simplification.

Front

How do you multiply a fraction by a mixed number?

Back

Convert the mixed number to an improper fraction, then multiply as usual. For example, 1 1/2 * 2/3 = (3/2) * (2/3) = 1.

Front

What is 4/5 of 3/4?

Back

4/5 * 3/4 = 12/20 = 3/5 after simplification.

Front

What fraction of the girls in a class have long brown hair if 4/5 have brown hair and 3/4 of those have long hair?

Back

3/4 of 4/5 = 3/5 of the girls have long brown hair.