# 6.2.2 Mixed Numbers on the Calculator

The calculator can be accessed on the left-hand side bar under the Toolkit.

## Activity: Adding and Subtracting Mixed Numbers

Try adding these mixed numbers on the calculator. Can you work out how to do this?

(a)

### Discussion

Enter each number as the integer (whole number) part plus the fraction part.

### Answer

(a) You can rewrite the sum as . You may find it easy to add the whole numbers, then add the fraction parts separately, and then combine the results. However,there is no need to reorder.

Let’s enter the same numbers in the calculator without rearranging. You should see the following:

A final word of warning—the calculator does not always give the answer as a fraction.

(b) Try adding on the calculator.

### Answer

(b) The calculator goes directly to the decimal form of the answer: .

But, remember from our earlier explorations that you can convert a decimal to a fraction by clicking on the equals sign or hitting Enter. Try this, and you should find that the calculator changes 0.5 back into a fraction:

Here are another few examples to make sure that adding and subtracting fractions works for you.

(c)

### Discussion

Give your answer as a mixed number.

### Answer

(c) The calculator goes straight to the decimal form:

Click on the equals sign to convert back to a fraction.

To check the calculation without a calculator, write all the fractions as twenty-fourths, because this is the smallest number that 24, 6 and 3 all divide into. This gives , which can be reduced to .

(d)

### Discussion

Think hard about how you enter the second mixed
number, ; remember that you want to subtract **all
of**
, that is both the 3 **and** the .

### Answer

(b) When you enter the second mixed number, you need to subtract both parts. One way to do this is to put parentheses around the , to show that you are subtracting both parts.

The key sequence to achieve this would be:

The calculator shows:

Notice that the calculator has interpreted your entry as “subtract 3 and also subtract one-half.” This gives another way of entering the calculation.

You can choose the method that makes most sense to you but think carefully about what you subtract.

## To recap:

- To add or subtract fractions, enter them straight into the calculator and click the equals sign or Enter.
- If there is not sufficient space to show the decimal number in the top screen, you will find more decimal places displayed in the white window below.
- Take care when you subtract mixed numbers to make sure that you subtract both the whole number and the fraction part.

6.2.1 Adding and Subtracting Fractions with the Calculator