# 6th Grade Math Ratios and Rates Worksheets

A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities that can have different units. The ratio is 2 to 5 or 2:5 or 2/5. All these describe the ratio in different forms of fractions. The ratio can consequently be expressed as fractions or as a decimal. 2:5 in decimals is 0.4. A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1. Ratio and rates worksheet is must for students to enhance their grasp on ratios and rates concepts.

## Teaching the ratio and rates easily:

Q. A punch recipe calls for 66 ounces of lime juice, 2121 ounces of apricot juice, and 2121 ounces of pineapple juice. What is the ratio of apricot juice to the total amount of punch?

• To find the total amount of punch, add 6+21+21=48.
• The ratio of apricot juice to the total amount of punch is 21:48. But this ratio is probably more clearly written as a fraction since the apricot juice makes up a fraction of the whole.
• 21/48
• To reduce the fraction, divide both the numerator and the denominator by 3.
• 7/16
• Note that this can be reduced, like a fraction, by dividing both numbers by a common factor  in this case, 3. In the simplest form, the ratio is 2:7.

## Why Should you use ratio and rates worksheets for your students?

Ratios and proportions are foundational to student understanding across multiple topics in mathematics and science.

In mathematics, they are central to developing concepts and skills related to slope, constant rate of change, and similar figures, which are all fundamental to algebraic concepts and skills.

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