117/180 Simplified

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What is 117/180 Simplified?

Answer

Fraction 117/180 simplified to lowest terms is
13/20
117
180
=
13
20

13/20 is the simplified fraction of 117/180.

Simplifying Fraction 117/180 using GCF

The first way to simplify the fraction 117/180 is to use the Greatest Common Factor (GCF) of our numerator [117] and denominator [180].

GCF of 117 and 180 is 9

And then divide both the numerator [117] and denominator [180] by the GCF [9].

117 ÷ 9
180 ÷ 9
=
13
20

Simplifying Fraction 117/180 using Prime Factors

Another method to reduce the fraction 117/180 to its simplest form is to use the Prime Factors of numerator [117] and denominator [180].

Prime Factors of 117: 3,3,13

Prime Factors of 180: 2,2,3,3,5

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

3 × 3 × 13
2 × 2 × 3 × 3 × 5
=
13
20

Simplifying Fraction 117/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [117] and denominator [180] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

117 ÷ 3
180 ÷ 3
=
39
60
39 ÷ 3
60 ÷ 3
=
13
20

See Also

Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 117/180 Simplified? (The answer is: 13/20). Enter the fraction (numerator and denominator) (e.g. '117/180') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 117/180) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).
Fraction Simplifier Calculator
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Fraction Simplification Table

FractionLowest Terms
117/16539/55
117/166117/166
117/167117/167
117/16839/56
117/1699/13
117/170117/170
117/17113/19
117/172117/172
117/173117/173
117/17439/58
117/175117/175
117/176117/176
117/17739/59
117/178117/178
117/179117/179
117/18013/20
117/181117/181
117/1829/14
117/18339/61
117/184117/184
117/185117/185
117/18639/62
117/187117/187
117/188117/188
117/18913/21
117/190117/190
117/191117/191
117/19239/64
117/193117/193
117/194117/194

FAQ

What is 117/180 Simplified?

Fraction 117/180 simplified to lowest terms is 13/20

What is 117/180 as a decimal?

Divide the reduced numerator by the reduced denominator: 13 ÷ 20 = 0.65, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

What is the GCF of 117 and 180?

The Greatest Common Factor of 117 and 180 is 9, and dividing the numerator and the denominator by it is what brings the fraction to 13/20. A GCF of 1 means the fraction is already in lowest terms.

See Also