### Fractions Decimals & Percentages

Whole numbers are called **integers**.

**Examples** of **whole numbers** are 2, 3, 7, 21 and 341.

A **fraction** is a part of an **integer** or a **whole** **number**. The image below tries to define a fraction as being a portion of a whole number. "a fraction of a the whole"

A Fraction is actually the **quotient** **ratio** **form** of two quantities.

Video on fractions

A **fraction** is expressed as:

**Numerator****Denominator**

#### Simplifying fractions by cancellation

A fraction can be simplified or reduced to a value when its numerator and denominator have no common factors.

Working with the fraction is easier when they're simplified. We work with fractions when we multiply, subtract add or divide.

An **equivalent fraction** where the numerator and denominator have no common factors is used to simplify the fraction.

**Follow the steps below**

- Make a list the
**prime facto**rs of the numerator and denominator. - Identify the prime factors common to both the numerator and denominator.
- Use
**cancelling**to divide the numerator and denominator by all common factors

**Second Example**

Simplify `56/64`

``

Simplify`24/36`

## Types of fractions

**1. Proper fractions:** where the numerator is less the denominator for example

**2. Improper fractions**: where the numerator is greater than the denominator for example

**3**. **Mixed number fractions as called mixed numbers**: consists of a whole number and a proper fraction e.g.

[resource: 977, align: left]

### Mixed fractions to improper fractions

To convert mixed fractions to improper fractions follow the following steps;

Step 1: multiply the **denominator** with the **whole number**

Step 2: add the **numerator** to the **product** of step 1 to get the **new** numerator

Step 3: The denominator of the remains the **same**.

### Improper Fractions to Mixed fractions

To convert improper fractions to mixed fractions follow the steps below;

**Step 1:** divide the numerator with the denominator,

**Step 2:** add the quotient is whole number and the remainder is the new numerator while the denominator remains the same

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