Algebra

Algebraic Fractions

To add or subtract numerical or algebraic fractions find the LCM of the denominators this is called the LCD then write each fraction using the LCD. Add or subtract the equivalent fractions.

Solving Equations with Algebraic Fractions

When solving equations that contain fractions we multiply both sides of the equation by the LCD. This eliminates all denominators. Then solve using the linear equation method.

Division in Algebra

There are two methods to divide a quadratic expression by a linear expression

Long Division

There are four stages to long division in algebra; divide, multiply, subtract, bring down.

Factorising

The second method is factorising.

Manipulation of Formulae

Adding and Subtracting algebraic fractions

Some algebraic fractions may have a letter in the denominator.

Division In Algebra

Consider the fraction 3/6. To reduce this fraction is it write it as 1/2. To get this we divided both the numerator and the denominator by their highest common factor (HCF). This is the same approach for reducing algebraic fractions.

Manipulation of formulae

To calculate the distance travelled by an object moving at a constant speed we can use the formula:

By rearranging or manipulating the formula we can also calculate both the speed of the object and the time taken to travel a set distance.

To manipulate a formula remember the correct order of operations BIMDAS and how to work with an equation. Whatever is done to one side must be done to the other.