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Work · Guided lesson

Use fractions, percentages, and ratios

About 30 minutes
Work at your own pace. Optional videos take extra time.
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Before you begin

The idea in everyday life

Convert and compare parts, shares, changes, and scaled quantities in a practical context.

The idea

The same relationship can be represented as a fraction, decimal, percentage, or ratio depending on the decision.

Try it

One step at a time.

Use the sample or information you have permission to use. Keep your work as you go. You can pause between steps.

  1. 1

    Name the whole and the part before choosing a representation.

  2. 2

    Convert one example among fraction, decimal, percentage, and ratio, then explain what stays the same.

  3. 3

    Apply the relationship to a discount, completion share, mixture, quality rate, or change and check the direction of the result.

Example

See how it works.

Lena records 18 accurate items out of 20 as 90%, then explains that a move from 80% to 90% is a ten-percentage-point increase.

Check your work

Did you cover these?

  • Your work includes a conversion and comparison page with four applied examples and written interpretations.
  • Check this common mistake: Changing the denominator, confusing percentage points with percent change, or comparing parts from different wholes.
  • You can state the whole, part, unit, and meaning of the result in plain language.
Your work

What to finish

A conversion and comparison page with four applied examples and written interpretations.

Common mistake

Watch for this

Changing the denominator, confusing percentage points with percent change, or comparing parts from different wholes.

How can I tell I understand it?

You can state the whole, part, unit, and meaning of the result in plain language.

Try 3 questions

Quick knowledge check

Answer all 3 questions. Get at least 2 right and the lesson completes automatically.

Not yet passed

You’ll get an explanation for each answer. Signed in? Your results save to your account.

1Which step is part of “Use fractions, percentages, and ratios”?
2What should you have made by the end of this lesson?
3Which mistake should you watch for in this lesson?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
2
Finish this lesson

Pass the check. We’ll save the progress.

Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.

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Optional course overview video · same video as Lesson 1
TabletClass MathCalculating Wages: The Pay-Rate-Hour TriangleYouTube
Optional course overview

Calculating Wages: The Pay-Rate-Hour Triangle

From TabletClass Math. Watch here or open it on YouTube .

Watch for an idea you can use in the practice below. You can pause or skip this optional overview.
Tools, templates, and lesson sources

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Sources and further reading

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