Multiply Fractions & 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

What is a mixed number?

Back

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

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 1/3?

Back

1/2 × 1/3 = 1/6.

Front

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

Back

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

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 1/4 and 2 3/4?

Back

1 1/4 × 2 3/4 = (5/4) × (11/4) = 55/16 = 3 7/16.

Front

What is the first step in multiplying a fraction by a mixed number?

Back

Convert the mixed number to an improper fraction before multiplying.

Front

What is 1/3 of 1/4?

Back

1/3 × 1/4 = 1/12.

Front

What is the product of 6/10 and 5/2?

Back

6/10 × 5/2 = 30/20, which simplifies to 3/2.