Multiplying mixed numbers!

Multiplying mixed numbers is what you will learn here with some easy to follow examples.


A mixed number is any number that has the following format:


The reason it is called mixed is because it is a mixture of a whole number and a fraction.

In our example, the whole number is 9.

Converting a mixed number into an improper fraction.

We show you next how to convert a mixed number into an improper fraction using the mixed number above.

Step 1. Multiply the whole number by the denominator of the fraction. (9 × 4 = 36)


Step 2. Add the result of step 1 to the numerator of the fraction. (36 + 3 = 37)


Step 3. Your numerator is the answer of step 2. Your denominator stays the same.


Now, you are ready to multiply mixed numbers with a couple of good examples.

Examples about multiplying mixed numbers

If you did not understand the examples in the figure above, just keep reading. 

Convert each mixed number by following the steps outlined above.


Step 1. Multiply the whole number by the denominator of the fraction. (2 × 6 = 12)

Step 2. Add the result of step 1 to the numerator of the fraction. (12 + 1 = 13)


Step 3. Your numerator is the answer of step 2. Your denominator stays the same.





Step 1. Multiply the whole number by the denominator of the fraction. (4 × 2 = 8)

Step 2. Add the result of step 1 to the numerator of the fraction. (8 + 3 = 11)

Step 3. Your numerator is the answer of step 2. Your denominator stays the same.


Now just multiply the fractions. Do this by multiplying the numerators together and the denominators together.


Sometimes, multiplying mixed numbers is a piece of cake with some good observations. If you had noticed that 40 divided by 5 is 8 and 15 divided by 3 is 5.

You can just multiply 8 and 5 to get 40.

Looking at the example #2 again.

Noticed that 5 divided by 5 is 1 and 3 divided by 3 is 1.

Remember that between a whole number and a fraction, there is always a + sign.

The problem just becomes 7 + 1 × 4 + 1 = 8 × 5 = 40

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