Ratios, Rates, and Percents

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other. It can be expressed in the form of a fraction, such as 3:4 or 3/4.

Front

How do you convert a percent to a decimal?

Back

To convert a percent to a decimal, divide the percent value by 100. For example, 42% becomes 0.42.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

How do you find the total when given a part and its percent?

Back

To find the total, divide the part by the percent (in decimal form). For example, if 25% of a total is 10, the total is 10 ÷ 0.25 = 40.

Front

What is the formula to calculate percent?

Back

The formula to calculate percent is: Percent = (Part / Whole) × 100.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 6 cups of flour?

Back

To find the amount of sugar needed, set up the ratio: 2/3 = x/6. Solving for x gives x = 4 cups of sugar.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, the ratio 8:12 simplifies to 2:3.

Front

What is the percent equivalent of 3/4?

Back

To find the percent equivalent, divide 3 by 4 to get 0.75, then multiply by 100 to get 75%.

Front

If a car travels 120 miles in 2 hours, what is its rate in miles per hour?

Back

To find the rate, divide the distance by the time: 120 miles ÷ 2 hours = 60 miles per hour.