Ratios/Rates/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.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 4:3), as a fraction (e.g., 4/3), or with the word 'to' (e.g., 4 to 3).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one. For example, if you buy 5 pounds of apples for $10, the unit rate is $2 per pound.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is a percent?

Back

A percent is a ratio that compares a number to 100. It is often used to express how much of something there is out of a total.

Front

How do you convert a fraction to a percent?

Back

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

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 4:3 can be written as the fraction 4/3.

Front

How do you compare two ratios?

Back

To compare two ratios, you can cross-multiply or convert them to fractions and find a common denominator.

Front

What is a better buy?

Back

A better buy is determined by comparing the unit prices of different products. The product with the lower unit price is the better buy.

Front

If the ratio of green counters to blue counters is 4:5, what fraction of the counters are green?

Back

The fraction of the counters that are green is 4/(4+5) = 4/9.