What is 210/180 Simplified to Simplest Form?

Fraction Simplifier Calculator

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 remainder.

210 ÷ 2

180 ÷ 2

=

105

90

105 ÷ 3

90 ÷ 3

=

35

30

35 ÷ 5

30 ÷ 5

=

7

6

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

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).

210/180 Simplified