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By using least common denominators when adding and subtracting fraction you get small numbers which are easy to perform operations on. On the other hand if you deal with common denominators which are excessively large, then you will find that operations are harder to perform. The one disadvantage of using LCD is that they can occasionally be difficult to find.
I suggest factoring each pair of numbers, and checking whether they have, or don't have, common factors. A pair of numbers is said to be "relatively prime" if they have no common factors (their greatest common factor is 1). For larger numbers, Euclid's algorithm could be used, but for such small numbers, factoring is probably faster.
a collection of symbols used to represent small numbers, together with a system of rules for representing larger numbers.
The first step it to find a common multiple to the denominators. The least common denominator is preferable because it is small but it is not necessary to find the least one. Next, convert each fraction into an equivalent factor with the common multiple as its denominator. Add together all the numerators and place this over the common denominator. Finally, simplify the answer, if possible.For example1/4 + 1/5 + 1/6Find a common multiple: 4*5*6 = 120 (which is also the LCM).Find equivalent fractions: 1/4 = 30/120, 1/5 = 24/120 and 1/6 = 20/120So 1/4 + 1/5 + 1/6 = (30 + 24 + 20)/120 = 74/120Simplify to 37/60.
It separates the numbers