Multiplying and Dividing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

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 process to divide fractions?

Back

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

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

What is the lowest terms of 8/24?

Back

1/3.

Front

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

Back

3/8.

Front

What is the quotient of 6/10 and 3/5?

Back

1.

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, 3 5/8 = (3*8 + 5)/8 = 29/8.

Front

What is the result of 2/5 divided by 3/4?

Back

8/15.

Front

What is a reciprocal?

Back

A reciprocal of a fraction is obtained by swapping its numerator and denominator. For example, the reciprocal of 3/4 is 4/3.