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 find a percentage of a number?

Back

To find a percentage of a number, multiply the number by the percentage (as a decimal). For example, 50% of 20 is 20 * 0.50 = 10.

Front

What is the formula to calculate percentage?

Back

Percentage = (Part / Whole) * 100.

Front

If 3 out of 5 students passed a test, what is the ratio of students who passed to those who failed?

Back

The ratio of students who passed to those who failed is 3:2.

Front

What is 25% of 200?

Back

25% of 200 is 50.

Front

If a recipe requires 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 do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.

Front

What is the ratio of 10 to 15 in simplest form?

Back

The simplest form of the ratio 10 to 15 is 2:3.