# Fractions, Decimals, Percentages.

### Concepts

- Understand that fractions, decimals and percentages are equivalent.

### Theory

You’re basically trying to see that:

- 20% = 1/5 = 0.2

**Percent to Fraction and Vice Versa**

To convert a number in

**% to fraction**, simply divide by 100. So 20% in fraction is 20/100, or 1/5 in its simplest form. Per cent, literally means per 100.To convert something in

**fraction to %**, multiply by 100. So 20/100 in percent is (20/100) * 100 = 20.

**Fraction to Decimal and Vice Versa**

To convert a

**fraction to decimal**, simply divide using long division. So 1/5 = 0.2To convert a

**percentage into decimal**- convert it into a fraction, and then see above point.

### Misconceptions

- Forgetting that “per cent” means “per hundred.” That percentage symbol looks pretty abstract at first.
- Unable to see the connection between 1/5, 0.2 and 20%. This is worth explaining over again using pictures.
- Shade 20 cubes out of hundred
- Share 1 cube out of 5
- The colored area is the same.