# Maths Revision

- Created by: Harry Ockenden
- Created on: 24-04-17 17:52

**Maths General:**

**Fractions:**

Adding fractions:

- When adding fractions there needs to be a common denominator e.g. 1/3 and 2/3

- If you have two fractions that have different denominators then you must maker them the same e.g. 1/3 and 3/4

- In order to do this multiply the denominators together e.g. 3 x 4. This gives you 12, which is now the common denominator.

- Then you must also multiply the numerator by the number that you multiplied the denominator of that fraction by e.g. 1 x 4, and 3 x 3. This gives you the numerator for your two new fractions with a common denominator.

- Now add the two new fractions together e.g. 4/12 + 9/12 = 13/12

- Then simplify your final answer. In this case the example cannot be simplified.

Multiplying fractions:

- When mulitplying fractions, you do not need a common denominator.

- Multiply the two top numbers together and then the two bottom number together. This gives you the answer e.g. 1/3 x 3/4 = 3/12

Subtracting fractions:

- For subtracting you need a common denominator like in adding fractions.

- The instead of adding them, subtract them e.g. 9/12 - 4/12 = 5/12

Dividing fractions:

- When dividing fraction you do not need a common denominator

- Turn one of your two fractions upside down and change the divide sign into a multiply sign e.g. 1/3 / 3/4 = 1/3 x 4/3

- Now answer this like a normal multiplication of fractions e.g. 1/3 x 4/3 = 4/9

Simplifying fractions:

- Simplifying fractions means getting a fraction to its simplest form e.g 3/6 = 1/2 however 1/2 is the simplest for of this fraction.

- In order to simplify a fraction just find a common factor of the numerator and denominator and divide them both by it. Keep dividing using different numbers at different points, until the fraction is as simple as possible.

**Scale Factors:**

- Linear factor = length ratio

- Area Factor = Scale Factor squared

- Volume Factor = Scale Factor…

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