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To reduce(simplify) a fraction:

  1. Find the prime factors of the numerator and denominator.
  2. Divide the numerator and denominator by all the prime factors they have in common.

Example[]

Simplify:

Write the numerator and denominator as products of their prime factors:
=

The common prime factors are 2, 2, 5 and 5. Divide numerator and denominator by 2*2*5*5:
=

Simplify the denominator:
=

Harder example[]

Simplify:

Write the numerator and denominator as products of their prime factors:
= The common prime factor is 71. Divide numerator and demominator by 71.
=


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