Reduce / simplify any fraction to that is lowest state by using our fraction to the Simplest type Calculator. Discover the price to questions like: What is 22/30 in simplest kind or what is 22/30 lessened to the simplest form?


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You are watching: Reduce 22/30 to lowest terms


How to reduce a fraction

Among various ways simple a fraction, we will display the 2 procedure below:

Method 1 - division by a small Number when Possible

Start by dividing both the numerator and also the denomiator the the fraction by the same number, and repeat this until it is impossible to divide. Start dividing by little numbers like 2, 3, 5, 7. For example,

Simplify the portion 42/98

First division both (numerator/denominator) by 2 to acquire 21/49.Dividing by 3 and also 5 will certainly not work, so,Divide both numerator and denominator through 7 to get 3/7. Note: 21 ÷ 7 = 3 and also 49 ÷ 7 = 7

In the fraction 3/7, 3 is just divisible through itself, and 7 is not divisible by various other numbers than itself and 1, therefore the portion has been simplified as lot as possible. No additional reduction is possible, therefore 42/98 is equal to 3/7 when lessened to its shortest terms. This is a PROPER fraction once the absolute worth of the optimal number or numerator (3) is smaller sized than the absolute worth of the bottom number or denomintor (7).

Method 2 - Greatest usual Divisor

To alleviate a portion to lowest terms (also referred to as its easiest form), simply divide both the numerator and also denominator by the GCD (Greatest typical Divisor).

For example, 3/4 is in lowest form, yet 6/8 is not in lowest form (the GCD that 6 and 8 is 2) and 6/8 have the right to be created as 3/4. You can do this due to the fact that the value of a fraction will remain the same when both the numerator and also denominator are split by the same number.

Note: The Greatest usual Factor (GCF) because that 6 and 8, notation gcf(6,8), is 2. Explanation:

Factors of 6 space 1,2,3,6;Factors the 8 are 1,2,4,8.

See more: What Is The Nth Term Of The Geometric Sequence 4, 8, 16, 32, Geometric Sequences And Sums

So, that is ease view that the "Greatest common Factor" or "Divisor" is 2 since it is the greatest number i beg your pardon divides same into every one of them.