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Q: Can the least common denominator of fractions be found by observing or by the use of prime numbers?

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common denominator

Addition or subtraction of fractions require "like" fractions: that is, fractions with the same denominator.

You DO need a common denominator to add, subtract, or compare fractions. You DO NOT need a common denominator to multiply or divide fractions.

Common Denominator

A "common denominator"

Related questions

In order to have a greatest common denominator, there has to be two numbers and they both have to be fractions. 60 has no greatest common denominator.

When comparing fractions you must find a common denominator; by finding the least common denominator it will keep the numbers (numerators and denominator) smaller .

By finding their common denominator & adding the top numbers of-the fractions. : )

Change them into mixed numbers and add the integers and fractions together ensuring that the fractions have a common denominator.

Change the mixed numbers to improper fractions, find a common denominator and proceed.

You don't need a common denominator to divide fractions.

Two or more fractions or mixed numbers are required to have a least common denominator.

Similarities: the sum does not depend on which number you start with (distributive)Differences: you must find a common denominator for the fractions (whole numbers have a common denominator [1]

The first step to take is find the lowest common denominator of the fractions which can be done by finding the lowest common multiple of the numbers.

The least common denominator is the least common multiple of the denominators of the fractions.

First, find a common denominator for the two (or more) fractions. Then, for each fraction, multiply numerator and denominator by the same number (different numbers for different fractions, though), to convert to the common denominator.

When those two numbers are the denominators of unlike fractions, finding the LCM (in this case, the LCD or least common denominator) and converting the unlike fractions to equivalent fractions with the same denominator will allow you to add and subtract them.

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