Year 8 Interactive Maths - Second Edition

Equations Containing Fractions

• Find the lowest common multiple of the denominators which is known as the lowest common denominator (LCD).
• Remove the fractions by multiplying both sides of the equation by the LCD.
• Solve the equation for the unknown pronumeral by performing the same operations to both sides of the equation.

Example 15

Solution:

Lowest common multiple of 3 and 1 is 3.  So, we multiply both sides by 3 to obtain:

Example 16

Solution:

Lowest common multiple of 8 and 3 is 24.  So, we multiply both sides by 24 to obtain:

Key Terms

lowest common denominator, LCD