Ratios, unit rates and percents with double number lines

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 in the form 'a:b'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms 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 'x per 1 unit'.

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 express it as 'x per 1 unit'.

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100, denoted by the symbol '%'. For example, 50% means 50 out of 100.

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.

Front

What is a double number line?

Back

A double number line is a visual representation that shows two related quantities along two parallel lines, helping to compare ratios and unit rates.

Front

How can a double number line help in solving ratio problems?

Back

A double number line helps visualize the relationship between two quantities, making it easier to see equivalent ratios and find unit rates.

Front

If there are 8 cats and 12 dogs, what is the ratio of dogs to cats?

Back

The ratio of dogs to cats is 12:8, which simplifies to 3:2.

Front

In a fruit basket with 5 apples, 7 pears, and 10 bananas, what is the ratio of apples to total fruit?

Back

The total fruit is 22, so the ratio of apples to total fruit is 5:22.