Lesson 4: Multiplying and dividing simple fractions

Here is a PDF version of the lesson.

Here is a PDF version of the workbook containing lots of practice.

Knowing how to multiply and divide fractions will help you succeed when other, more complex mathematical concepts, such as simplifying algebraic expressions, solving equations and so on.

Most students find the process of multiplying fractions the easiest of all operations with fractions. All you have to do is multiply numerators and denominators respectively (the product of the numerators over the product of the denominators), recording the final answer as a reduced simplest fraction. In order to reduce a fraction, divide both the numerator and the denominator by their GCF (greatest common factor).

The process of dividing the two fractions is a bit more complex.

​In order to divide one fraction by another, find the reciprocal of the second fraction and then change the operation to multiplication.

Watch the video lesson above to see how to do this.

When you are required to multiply or divide mixed numbers, convert them into improper fractions first, then apply the rules discussed above.

Grade 7 Multiplying and Dividing Fractions Quiz

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