Ratios, Unit Rates, and 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

How do you write a ratio in simplest form?

Back

To write a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per unit' (e.g., miles per hour).

Front

How do you find a unit rate from a ratio?

Back

To find a unit rate, divide the first quantity by the second quantity to determine how much of the first quantity corresponds to one unit of the second.

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 can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal (a/b = c/d means a*d = b*c).

Front

What is the ratio of blue marbles to total marbles if there are 3 blue, 2 red, and 5 yellow marbles?

Back

The ratio of blue marbles to total marbles is 3 to 10.

Front

If a recipe calls for 4 cups of flour to 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 4 to 3.

Front

Convert the ratio 6:7 into a fraction.

Back

The ratio 6:7 can be written as the fraction 6/7.

Front

If there are 24 pencils in 3 boxes, how many pencils are in 8 boxes?

Back

There are 64 pencils in 8 boxes.