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

What does it mean to multiply fractions?

Back

Multiplying fractions involves multiplying the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

How do you multiply a fraction by a whole number?

Back

To multiply a fraction by a whole number, convert the whole number to a fraction (e.g., 3 becomes 3/1) and then multiply the fractions. For example, (2/3) * 3 = (2*3)/(3*1) = 6/3 = 2.

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 convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, 1 1/2 = (1*2 + 1)/2 = 3/2.

Front

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

Back

1/2 * 1/4 = 1*1 / 2*4 = 1/8.

Front

How do you find the product of two mixed numbers?

Back

Convert each mixed number to an improper fraction, multiply the fractions, and simplify if necessary.

Front

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

Back

2/3 * 3/4 = (2*3)/(3*4) = 6/12 = 1/2 after simplification.

Front

If George has 1/3 of a pan of brownies and eats 1/4 of them, how much does he eat?

Back

1/3 * 1/4 = 1/12 of the pan of brownies.

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.