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There are two equivalent ways:Method 1:

  • Find the highest common factor (HCF) of the numerator and denominator of the fraction.
  • Replace the numerator by the num/HCF and the denominator by the den/HCF.
  • Done.

Method 2:

  • 1) Do the numerator and denominator have any common factor, F, which is greater than 1? If no, you are done.
  • 2) Else replace the numerator by num/F and the denominator by the den/F.
  • 3) Go to step 1.

Method 1 requires more effort up front and could entail working with large numbers but is done in a single pass. Method 2 is simpler but could take longer. The choice is yours.

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Q: How do you rename fraction to its simplest form?
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