Ratios & Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written as a/b = c/d.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you read 98 pages in 7 days, the unit rate is 98/7 = 14 pages per day.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common factor.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity. For example, a ratio of 3:5 can be written as 3/5.

Front

What is the relationship between ratios and fractions?

Back

Ratios and fractions both represent a comparison of quantities, but ratios compare two different quantities while fractions represent a part of a whole.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other. For example, if a/b = c/d, then ad = bc.

Front

What is a rate?

Back

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

Front

If 5 apples cost $2, what is the unit price per apple?

Back

The unit price per apple is $2/5 = $0.40 per apple.