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1.05 Calculations with fractions

Lesson

Using a calculator with fractions

Firstly, get familiar with the fraction button on your calculator. There are a couple of examples of what the button might look like below; it will just depend on the brand of your calculator. See if you can find the fraction button on your calculator.

Again, how you use the fraction button when entering a calculation may vary depending on the brand of the calculator. However, the two most common methods are the following.

Say you wanted to enter $\frac{1}{2}$12. Then the common way to do it is to press the following buttons:

$\editable{1}$1 $\editable{2}$2

 

The other method is that once you press the fraction key, you then scroll to the box you want using the arrow keys and then fill in the numbers. This method is less common, however some calculators (e.g. the one on the left above) will let you enter fractions this way. 

 

Entering mixed numbers on a calculator

You may have noticed that there are a lot of different functions in maths and making all these functions fit on a calculator is a pretty tricky task! One way they do this is by using second functions, which are the ones written in tiny writing above the buttons on your calculator.

The mixed number button is one of these second functions. So how do you enter one into the calculator?

We need to use the SHIFT key, then press the fraction key like so:

$\editable{\text{SHIFT}}$SHIFT

 

Again the order you press these and the number keys depend on your calculator, so it's worth asking your teacher to run you through it if you're not sure.

Also, calculators tend to give their answers as decimals. However, there is another handy button you can use to convert your answer between fractions and decimals. Again you can ask your teacher to help you find it. It should look something like this:

$\editable{\text{S }\leftrightarrow\text{D }}$S D

 

Just a heads up – not all calculators and online devices work the same way, so it's important that your calculator is approved for use in tests and exams and that you use it often. Many students struggle in a test because they borrowed a friends calculator at the last minute and they don't know how to use it!

 

Two useful tips!

The word 'of' in mathematics almost always indicates that you need to multiply. So $\frac{3}{5}$35 of $\frac{2}{3}$23 means you do $\frac{3}{5}\times\frac{2}{3}$35×23

A fraction can be thought of as a division. $\frac{5}{8}$58 is the same as $5\div8$5÷​8. You might find it quicker to use the $\div$÷​ key rather than the fraction button at times.

 

 

Practice questions

Question 1

Using a calculator, evaluate $4\frac{4}{11}+1\frac{4}{9}$4411+149, expressing your answer as a mixed number in its simplest form.

Question 2

Using a calculator, evaluate $\frac{2}{5}+\frac{2}{3}\div\frac{3}{4}$25+23÷​34.

Express your answer in simplest form.

Question 3

Find $\frac{2}{7}$27 of $4$4 hours.

Express your answer in hours.

Question 4

Maria is a sales assistant. She earns $\$293$$293 per week, plus a commission of $\frac{2}{9}$29 on anything she sells. Last week she sold $\$1377$$1377 of sofas.

  1. Using a calculator, find Maria's commission for last week (in dollars).

  2. Using a calculator, what was Maria's pay for last week (in dollars)?

 

Outcomes

ACMEM001

solve practical problems requiring basic number operations

ACMEM002

apply arithmetic operations according to their correct order

ACMEM005

use a calculator for multi-step calculations

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