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It will be easier to perform the required calculation.

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6y ago
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7y ago

The advantage is that each term is then a like term and consequently, the numerators represent an equivalent equation. An equation involving fractions no longer has fractions!

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Q: What is the advantage of multiplying both sides of the equation by the same least common multiple of the denominators?
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What is an common multiple of the denominators for two or more fractions?

Multiplying the denominators together of two or more unlike fractions will get you a common multiple.


Do you have to change the denominators when multiplying fractions?

No. To multiple fractions multiple the numerators together and multiply the denominators together and simplify (by dividing both numerator and denominator of the result by common factors until the only common factor is 1). The denominators only need to be the same when adding or subtracting fractions.


How is solving an equation that involves rational numbers similar to solving an equation that involves intergets?

If you multiply each term of the first type of equation by a common multiple of all the denominators then you will have an equation of the second type.For example, if you have 2/3*y = 4/5*x + 7/9 then multiplying by the LCM of 3, 5, 9) = 45, gives30*y = 39*x + 35: all integers!


Is the least common multiple of the denominators?

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


What is the lowest common multiple of the denominators?

You have to state the denominators to expect an answer


What is the common multiple of the denominators?

The least common multiple of the denominators is knows as the LCD or least common denominator.


How are common denominator and common multiple alike?

Common denominators are common multiples of two or more denominators.


How are a common denominator and common multiple different?

Common denominators are common multiples that are being used as denominators.


What is a number into which the denominators will divide evenly?

A multiple of the denominator.


How can you get a dcommon denominator?

You can multiply the two denominators, or you can find the least common multiple for the two denominators.


What is the best method for eliminating a fraction from an equation in point slope that is to be written in standard form?

There are actually several "standard forms" for line equations (point-slope form is one of them), so the exact details depend on which form you want.However, in general you can get rid of a fraction by multiplying all parts of the equation by the common denominator. For example, if somewhere in the equation you have a denominator of 5 (and no other denominators), you multiply everything by 5. That will get rid of the fraction.


Adding and subtracting unlike denominators?

Fractions can only be added or subtracted if the denominators are the same. If the denominators are different, then the fractions need to be made into equivalent fractions with the same denominator. The new denominator can be found simply by multiplying the denominators together, but this can lead to some large fractions with which to work. A better new denominator is the lowest common multiple of (all the) denominators. (Once the new denominator is found, the fractions' new numerators are found by multiplying their current numerator by the new denominator divided by their current denominator to make their equivalent fractions with the new denominator.) Once all the fractions are converted into equivalent fractions with the new denominator then the fractions can be added or subtracted, with the result being simplified (if possible).