Dividing and Simplifying 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 divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.

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 3/4 is 4/3.

Front

How do you simplify a fraction?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides both the numerator and denominator without leaving a remainder.

Front

What is the result of dividing 1/2 by 1/4?

Back

1/2 ÷ 1/4 = 2.

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

Front

What is the result of dividing 3/4 by 1/2?

Back

3/4 ÷ 1/2 = 3/2.

Front

What is the result of dividing 5/6 by 2/3?

Back

5/6 ÷ 2/3 = 1 1/6.