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Why do you clear fractions in a linear equation?

Updated: 8/19/2019
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13y ago

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Multiply every term in the equation by a common denominator of all the fractions. The least common denominator (if different) will result in smaller numbers that you then have to work with but it is not essential that you use it.

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13y ago
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Q: Why do you clear fractions in a linear equation?
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Why do you clear decimals when solving a linear equation?

because you just do!


How do you clear fractions?

I am not entirely sure what you mean with "clear". But if you want to get rid of fractions in an equation, you can multiply both sides of the equation by the least common multiple of the fractions. For example, take the equation: (1/2)x + 3 = (1/5)x If you multiply both sides by 10, you get: 5x + 30 = 2x


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Multiply the whole equation by the lowest common denominator. ie. multiply each number by the lowest factor that goes into all of the denominators. Example: if you have y/2 = 3x/4 + 16/6 -> the lowest common denominator is 12, because 12 is the lowest number that will clear all the fractions, so: 12 (y/2 = 3x/4 + 16/6) 6y = 9x + 32 -> of course, if you want to graph this linear equation, you need to solve for y, so you would have to divide the whole equation by 6. (6y = 9x + 32)/6 y = 9x/6 + 32/6 -> simplify the fractions y = 3x/2 + 16/3 -> this is your equation for y.


Why should you clear fractions to solve linear equalities?

You don't have to. Some people find that it makes subsequent calculations easier - but not all do.


Is a linear equation the same as a function?

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There is absolutely no REQUIREMENT to do so. It is simply that many people prefer to work with whole numbers.


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