Multiplying and Dividing Fractions

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 and 'b' is the denominator.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) x (c/d) = (a*c)/(b*d).

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 2/3 is 3/2.

Front

How do you divide fractions?

Back

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

Front

What is 1/2 x 3/4?

Back

1/2 x 3/4 = 3/8.

Front

What is 2/3 ÷ 4/5?

Back

2/3 ÷ 4/5 = 2/3 x 5/4 = 10/12 = 5/6.

Front

What is the result of multiplying 1/6 x 3/2?

Back

1/6 x 3/2 = 3/12 = 1/4.

Front

What is 3/5 ÷ 1/2?

Back

3/5 ÷ 1/2 = 3/5 x 2/1 = 6/5.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common factor.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.