Rates, Ratios, proportions and percents

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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

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 25% of 200?

Back

50

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.

Front

How do you find the percentage of a number?

Back

To find the percentage of a number, multiply the number by the percentage (as a decimal). For example, to find 20% of 50, calculate 50 * 0.20 = 10.

Front

What is the formula for finding a ratio?

Back

The formula for finding a ratio is: Ratio = Part / Whole.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities, while a rate compares two quantities with different units (e.g., speed is a rate of distance per time).

Front

If the ratio of boys to girls is 3:4, how many girls are there if there are 12 boys?

Back

There are 16 girls.