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Year 8 Interactive Maths - Second Edition


Equations Containing Fractions

To solve 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


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