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This content is taken from the National STEM Learning Centre's online course, Maths Subject Knowledge: Fractions, Decimals, and Percentages. Join the course to learn more.
6.1

## National STEM Learning Centre

Skip to 0 minutes and 7 seconds PAULA KELLY: Hello, and welcome to the final week of our course, exploring fractions, decimals, percentages.

Skip to 0 minutes and 13 seconds MICHAEL ANDERSON: Last week, we looked at the division with decimals and fractions without the use of a calculator. We introduced a range of methods and explored why they work in order to develop our understanding of the processes involved.

Skip to 0 minutes and 25 seconds PAULA KELLY: This week, we’re going to delve deeper into percentages, increasing and decreasing by a percentage, and finishing by looking at simple and compound interest. So you will need a calculator. As usual, this week will contain a mixture of videos, examples, word questions, and questions for you to have a go at yourself. So please remember to post your thoughts, solutions, and questions as we go.

# Delving deeper into percentages

Last week, we explored methods to help divide fractions and decimals. This week we delve deeper into percentages. We build upon finding a percentage of an amount to consider how to increase and decrease an amount by a percentage and look at the difference between simple interest and compound interest. For this week, it will be useful to have a calculator to hand.

As usual, this week contains a mixture of videos, examples, worked questions and questions for you to have a go at yourself. Please remember to post your thoughts, solutions, and questions as we go.

You can download the final weekly problem worksheet which is available at the end of this step. Answers for this week’s worksheet are available from the last step of the week.

## Recap of last week’s final question

Before we go further with percentages, let’s look at where we left off last week. We asked the following question:

For two numbers, A and B, the following statement is true:

“Five-sixths of four-fifths of A is equal to two-fifths of three-quarters of number B.”

What is the value of A/B as a fraction in its simplest form?

We’ll be releasing the answer at the start of the 6th week of this course.