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Ratios and Word Problems

A series of free Basic Algebra Lessons.

In this lesson, we will learn about what is a ratio, examples of how ratios are used and how to simplify ratios involving decimals and fractions.

In math, it's sometimes helpful to be able to compare quantities using ratios. Ratios are used often in word problems and in Geometry when comparing similar figures. A ratio is a comparison of two quantities. One common ratio example is how many miles in an hour a person drives. Problems that contain ratios involve solving single-step, two-step, or multi-step equations in order to find a quantity or variable.
What a ratio is.
Simple ratio problems.

This video defines a ratio and provides several examples on how to write a ratio and shows how to simplify a ratio.
Examples: Write a Ratio as a Simplified Fraction
This video provides two examples of determining the simplified fraction form of a ratio.
Write a Ratio as a Simplified Fractions Involving Decimals and Fractions
This video provides two examples of determining the simplified fraction form of a ratio involving decimals and fractions.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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