Dividing Fractions by 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 1/2 by 3/4, you multiply 1/2 by 4/3.

Front

What is a reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For example, the reciprocal of 5 is 1/5, and the reciprocal of 3/5 is 5/3.

Front

How do you find the reciprocal of a fraction?

Back

To find the reciprocal of a fraction, swap its numerator and denominator. For example, the reciprocal of 2/3 is 3/2.

Front

What is the reciprocal of 0?

Back

The reciprocal of 0 is undefined because division by zero is not possible.

Front

What is the result of dividing a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by that whole number. For example, 1/2 divided by 3 is 1/(2*3) = 1/6.

Front

What is the result of dividing 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, 3 divided by 1/2 is 3 * 2/1 = 6.

Front

What is the simplified form of 12/20?

Back

The simplified form of 12/20 is 3/5, obtained by dividing both the numerator and denominator by their greatest common divisor, which is 4.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF).

Front

What is the importance of finding a common denominator when dividing fractions?

Back

Finding a common denominator is not necessary when dividing fractions, but it is essential when adding or subtracting fractions.

Front

What is the first step in solving a division problem involving fractions?

Back

The first step is to identify the fractions involved and then find the reciprocal of the second fraction.