Unit Rates, Ratios, Percents & Proportions Worksheet

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What is a unit rate?

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A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

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How do you calculate a ratio?

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A ratio is calculated by dividing one quantity by another. For example, if there are 2 apples and 3 oranges, the ratio of apples to oranges is 2:3.

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What is the formula for calculating percent?

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The formula for calculating percent is: Percent = (Part/Whole) x 100. For example, if you scored 18 out of 20 on a test, your percent score is (18/20) x 100 = 90%.

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How do you find the sale price after a discount?

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To find the sale price after a discount, subtract the discount amount from the original price. For example, if a jacket costs $50 and has a 20% discount, the discount is $10, so the sale price is $50 - $10 = $40.

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What is a proportion?

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A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

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How do you convert a fraction to a percent?

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To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100. For example, 1/4 = (1 ÷ 4) x 100 = 25%.

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What is the average speed formula?

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The average speed formula is: Average Speed = Total Distance / Total Time. For example, if a runner completes a marathon of 26.2 miles in 4.5 hours, the average speed is 26.2 miles / 4.5 hours = 5.8 mph.

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How do you compare negative fractions?

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To compare negative fractions, convert them to a common denominator or convert them to decimals. The fraction with the larger absolute value is the smaller number. For example, -3/4 is less than -2/3.

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What is the relationship between ratios and proportions?

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Ratios compare two quantities, while proportions state that two ratios are equal. For example, if the ratio of boys to girls is 2:3, then the proportion can be expressed as 2/3 = x/y.

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How do you scale a recipe using ratios?

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To scale a recipe, multiply each ingredient by the same ratio. For example, if a recipe calls for 2 cups of flour for 4 servings and you want to make 8 servings, multiply by 2 to get 4 cups of flour.