Fractions, Decimals and Percentages

Learning objectives

Represent parts of a whole and convert between fractions, decimals and percentages.

By the end of this course, you should be able to explain the key ideas, use the methods and answer practice questions.

A fraction has a numerator (top number) and denominator (bottom number). In 3/4, 3 is the numerator and 4 is the denominator.

Equivalent fractions have the same value. For example, 1/2 = 2/4 = 4/8.

Decimals use place value after a decimal point. For example, 0.5 means five tenths.

Percent means out of 100. For example, 25% = 25/100 = 0.25 = 1/4.

To find 10% of 80, calculate 80 ÷ 10 = 8.

To convert 3/4 to a percentage: 3 ÷ 4 = 0.75, and 0.75 × 100 = 75%.

Enter an answer for each question. Then select Check answers. For fractions, use forms such as 1/2.

1. Write 1/2 as a decimal.

2. Write 25% as a fraction in its simplest form.

3. Find 10% of 90.