Back to: MATHEMATICS JSS1

**Welcome to class! **

In today’s class, we will be talking more about fractions. Enjoy the class!

**Fractions**

**Multiplication and division of fractions**

**Multiplying fractions**:

Three simple steps are required to multiply two fractions:

**Step 1:**Multiply the numerators from each fraction by each other (the numbers on top). The result is the numerator of the answer.**Step 2:**Multiply the denominators of each fraction by each other (the numbers on the bottom). The result is the denominator of the answer.**Step 3:**Simplify or reduce the answer.

**Examples of multiplying fractions:**

In the first example, you can see that we multiply the numerators 2 x 6 to get the numerator for the answer, 12. We also multiply the denominators 5 x 7 to get the denominator for the answer, 35. In the second example, we use the same method. In this problem, the answer we get is 2/12 which can be further reduced to 1/6.

**Multiplying different types of fractions**:

The examples above multiplied proper fractions. The same process is used to multiply improper fractions and mixed numbers. There are a couple of things to watch out for with these other types of fractions.

Improper fractions – With improper fractions (where the numerator is greater than the denominator) you may need to change the answer into a mixed number. For example, if the answer you get is 17/4, your teacher may want you to change this to the mixed number 4 ¼.

Mixed numbers – Mixed numbers are numbers that have a whole number and a fraction, like 2 ½. When multiplying mixed numbers, you need to change the mixed number into an improper fraction before you multiply. For example, if the number is 2 1/3, you will need to change this to 7/3 before you multiply.

You may also need to change the answer back to a mixed number when you are done multiplying.

**Example:**

In this example, we had to change 1 ¾ to the fraction 7/4 and 2 ½ to the fraction 5/2. We also had to convert the multiplied answer to a mixed number at the end.

**Dividing fractions**:

Dividing fractions is very similar to multiplying fractions; you even use multiplication. The one change is that you have to take the reciprocal of the divisor. Then you proceed with the problem just as if you were multiplying.

**Step 1:**Take the reciprocal of the divisor.**Step 2:**Multiply the numerators.**Step 3:**Multiply the denominators.**Step 4:**Simplify the answer.

Taking the reciprocal: To get the reciprocal, invert the fraction. This is the same as taking 1 divided by the fraction. For example, if the fraction is 2/3 then the reciprocal is 3/2.

**Examples:**

In our next class, we will be talking more about **Estimation**. We hope you enjoyed the class.

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