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 product of 1/2 and 3/4?

Back

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

Front

What does it mean to divide fractions?

Back

Dividing fractions means multiplying by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is the reciprocal of 3/4?

Back

The reciprocal of 3/4 is 4/3.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the GCD of 8 and 12?

Back

The GCD of 8 and 12 is 4.

Front

What is 2/3 divided by 4/5?

Back

2/3 ÷ 4/5 = 2/3 * 5/4 = 10/12 = 5/6 after simplification.

Front

What is the product of 2/7 and 3/5?

Back

2/7 * 3/5 = 6/35.

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 1/3 = (2*3 + 1)/3 = 7/3.