It is because the partial fractions are simply another way of expressing the same algebraic fraction.
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fractions having same denominators are like fractions & others are unlike fractions
Finding the GCF of the numerator and the denominator of a fraction and dividing them both by it will give you the simplest form of that fraction. Finding the LCM of unlike denominators and converting them to it will make it possible to add and subtract 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.
Finding the LCM will make adding and subtracting fractions easier.
Possible reasons: To add or subtract fractions, To compare fractions with different denominators.