What is 210/180 Simplified to Simplest Form?

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What is 210/180 Simplified?

Answer: Fraction 210/180 simplified to lowest terms is 7/6

210

/

180

=

7

/

6

7/6 is the simplified fraction of 210/180.

Since the numerator [210] is greater than the denominator [180] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

7

/

6

=1

1

/

6

Simplifying Fraction 210/180 using GCF

The first way to simplify the fraction 210/180 is to use the Greatest Common Factor (GCF) of our numerator [210] and denominator [180].

GCF of 210 and 180 is 30

And then divide both the numerator [210] and denominator [180] by the GCF [30].

210 ÷ 30

/

180 ÷ 30

=

7

/

6

Simplifying Fraction 210/180 using Prime Factors

Another method to reduce the fraction 210/180 to its simplest form is to use the Prime Factors of numerator [210] and denominator [180].

Prime Factors of 210: 2,3,5,7

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:

2 × 3 × 5 × 7

/

2 × 2 × 3 × 3 × 5

=

7

/

6

Simplifying Fraction 210/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [210] 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 reminder.

210 ÷ 2

/

180 ÷ 2

=

105

/

90

105 ÷ 3

/

90 ÷ 3

=

35

/

30

35 ÷ 5

/

30 ÷ 5

=

7

/

6

Related Calculations

210 is what percent greater than 180?

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 210/180 Simplified? (The answer is: 7/6). Enter the fraction (numerator and denominator) (e.g. '210/180') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 210/180) 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).

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Fraction Simplification Table

Fraction	Lowest Terms
210/165	14/11
210/166	105/83
210/167	210/167
210/168	5/4
210/169	210/169
210/170	21/17
210/171	70/57
210/172	105/86
210/173	210/173
210/174	35/29
210/175	6/5
210/176	105/88
210/177	70/59
210/178	105/89
210/179	210/179
210/180	7/6
210/181	210/181
210/182	15/13
210/183	70/61
210/184	105/92
210/185	42/37
210/186	35/31
210/187	210/187
210/188	105/94
210/189	10/9
210/190	21/19
210/191	210/191
210/192	35/32
210/193	210/193
210/194	105/97

210/180 Simplified

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