210/180 Simplified

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Simplify the Fraction

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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

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Fraction Simplification Table

FractionLowest Terms
210/16514/11
210/166105/83
210/167210/167
210/1685/4
210/169210/169
210/17021/17
210/17170/57
210/172105/86
210/173210/173
210/17435/29
210/1756/5
210/176105/88
210/17770/59
210/178105/89
210/179210/179
210/1807/6
210/181210/181
210/18215/13
210/18370/61
210/184105/92
210/18542/37
210/18635/31
210/187210/187
210/188105/94
210/18910/9
210/19021/19
210/191210/191
210/19235/32
210/193210/193
210/194105/97

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).

Fraction Simplifier Calculator

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FAQ

What is 210/180 Simplified?

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

See Also