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When adding or subtracting fractions with different denominators and when reducing fractions to their lowest termsWhen adding or subtracting fractions with different denominators their lowest common multiple is needed and when reducing fractions to their lowest terms their greatest common factor is needed.
The hcf is useful in reducing fractions to their lowest terms and the lcm is useful in finding the lowest common denominator of fractions that have different denominators that need to be added or subtracted.
When you need to reduce fractions to their simplest form.
fractions having same denominators are like fractions & others are unlike fractions
I assume you mean, with different denominators. If you want to add the fractions, subtract them, or compare them (determine which one is greater), you have to convert them to similar fractions (fractions with the same denominator) first. Converting to similar fractions is not necessary, and usually doesn't even help, if you want to multiply or divide fractions.