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It isn't always strictly necessary; but imagine putting the result of some complicated calculations as 335/670. Anybody might ask, "why didn't you write this as 1/2?" It is usually preferable, easier to understand, if the result is as simple as possible. In the case of fractions, this means reducing the fraction by taking out any common factors.

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Q: Why is there a need to reduce fractions to their lowest terms?
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Related questions

When will you need to find the multiples and factors?

When adding or subtracting fractions with different denominators and when reducing fractions to their lowest terms


What is the lowest terms of 24?

Fractions and ratios sometimes need to be reduced to lower terms. Numbers never do. In fact, "lowest terms" is meaningless when you're talking about a number.


Why not always reduce fractions to lowest terms?

Sometimes it is easier to work with fractions that are not reduced. For example, if you wanted to compare whether 6/10 or 13/20 was larger, you would not need to reduce 6/10; in fact you would want to rewrite 6/10 as 12/20 so you could compare.


What is 15 divided by 20 and need to reduce to lowest terms?

0.75


How do you know whether to use common factors or multiples to solve a problem?

The hcf is useful in reducing fractions to their lowest terms and the lcm is useful in finding the lowest common denominator of fractions that have different denominators that need to be added or subtracted.


How do you put 410 in the lowest terms?

To put 410 in the lowest terms, you need to find the greatest common divisor (GCD) of 410 and reduce the fraction by dividing both the numerator and denominator by the GCD. Since 410 is a prime number, the lowest terms for 410 would be 410/1.


What is the need to find HCF?

It helps to reduce fractions.


When do you need to use the greatest common factor?

When you need to reduce fractions.


What types of problems can be solved using the the greatest common factor?

When reducing fractions to their lowest terms


Need to reduce 03125 to the lowest common fraction reduce it lower?

0.3125 = 5/16


When adding or subtracting two fractions with denominators that are not equal what is the first step you take?

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.


Why do you need to learn factoring in Algebra?

You need to learn it, so you can learn Greatest Common Factor, which you need to reduce fractions.