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# Help with Ratios

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❶The phenomenon of short stories in the Russian literature in the 19th century.

## Sixth Grade Math Lesson: Take Your Class On a Ratio Tour!

When one of the four numbers in a proportion is unknown, cross products may be used to find the unknown number. This is called solving the proportion. Question marks or letters are frequently used in place of the unknown number.

A rate is a ratio that expresses how long it takes to do something, such as traveling a certain distance. The fraction expressing a rate has units of distance in the numerator and units of time in the denominator. Problems involving rates typically involve setting two ratios equal to each other and solving for an unknown quantity, that is, solving a proportion. Juan runs 4 km in 30 minutes. At that rate, how far could he run in 45 minutes?

Give the unknown quantity the name n. In this case, n is the number of km Juan could run in 45 minutes at the given rate. We know that running 4 km in 30 minutes is the same as running n km in 45 minutes; that is, the rates are the same.

We compare rates just as we compare ratios, by cross multiplying. When comparing rates, always check to see which units of measurement are being used. For instance, 3 kilometers per hour is very different from 3 meters per hour!

Is the ratio 3: Divide both, and you discover that the quotients are not equal. Therefore, these two ratios are not equal. Some other equal ratios: You can also use decimals and percents to compare two quantities.

Here is a chart showing the number of goals made by five basketball players from the free-throw line, out of shots taken. Each comparison of goals made to shots taken is expressed as a ratio, a decimal, and a percent.

They are all equivalent, which means they are all different ways of saying the same thing. Looking for video lessons that will help you in your Common Core Grade 6 math classwork or homework?

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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.

Module A Overview Lesson 1 , Lesson 2: Ratios Video Lesson 3 , Lesson 4: Module B Overview Lesson 9: Tables of Equivalent Ratios Video Lesson Mid-Module Assessment Topics A through B assessment 1 day, return 1 day, remediation or further applications 2 days. Module C Overview Lesson From Ratios to Rates Video Lesson From Rates to Ratios Video Lesson Module D Overview Lesson Percent and Rates per Video Lesson A Fraction as a Percent Video Lesson End-of-Module Assessment Topics A through C assessment 1 day, return 1 day, remediation or further applications 2 days.

Creating Division Stories Video Lesson 6: More Division Stories Video Lesson 7: Dividing Fractions and Mixed Numbers Video. Sums and Differences of Decimals Video Lesson Fraction Multiplication and the Products of Decimals Video.

Estimating Digits in a Quotient Video Lesson

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Understanding Ratios A ratio is a pair of numbers that compares two quantities. Write the ratio 3 ways. 8. Writing to Explain At a cat and dog hospital, 9 of the patients were cats, 17 were dogs. Both ratios compare feet to seconds, so the units are the same.