Multiplying fractions and/or 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 2 1/2.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) * (4/5) = (2*4)/(3*5) = 8/15.

Front

What is the first step in multiplying mixed numbers?

Back

Convert the mixed number to an improper fraction before multiplying.

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, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

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

Back

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

Front

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

Back

Convert 2 1/3 to an improper fraction: 2 1/3 = 7/3. Then multiply: (7/3) * 3 = 7.

Front

What do you do after multiplying fractions?

Back

Always simplify the result if possible.

Front

What is simplifying a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and denominator by their greatest common factor.

Front

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

Back

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