Dividing Fractions

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide 1/3 by 1/2, you multiply 1/3 by 2/1, resulting in 2/3.

Front

How do you convert a whole number to a fraction?

Back

To convert a whole number to a fraction, place the whole number over 1. For example, the whole number 8 can be written as 8/1.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 23/4 is an improper fraction.

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, add the numerator, and place the result over the original denominator. For example, 5 3/4 becomes (5*4 + 3)/4 = 23/4.

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 the denominator by their greatest common divisor (GCD). For example, to simplify 15/24, divide both by 3 to get 5/8.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder. For example, the GCD of 15 and 24 is 3.

Front

How do you divide a whole number by a fraction?

Back

To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction. For example, 8 ÷ 1/3 is the same as 8 * 3/1 = 24.

Front

What is the result of dividing a fraction by another fraction?

Back

The result of dividing a fraction by another fraction is found by multiplying the first fraction by the reciprocal of the second. For example, 3/6 ÷ 4/5 = 3/6 * 5/4 = 15/24.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/2 = 0.5.