What is 198/126 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 198/126 Simplified?

Answer: Fraction 198/126 simplified to lowest terms is 11/7

198

/

126

=

11

/

7

11/7 is the simplified fraction of 198/126.

Since the numerator [198] is greater than the denominator [126] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

11

/

7

=1

4

/

7

Simplifying Fraction 198/126 using GCF

The first way to simplify the fraction 198/126 is to use the Greatest Common Factor (GCF) of our numerator [198] and denominator [126].

GCF of 198 and 126 is 18

And then divide both the numerator [198] and denominator [126] by the GCF [18].

198 ÷ 18

/

126 ÷ 18

=

11

/

7

Simplifying Fraction 198/126 using Prime Factors

Another method to reduce the fraction 198/126 to its simplest form is to use the Prime Factors of numerator [198] and denominator [126].

Prime Factors of 198: 2,3,3,11

Prime Factors of 126: 2,3,3,7

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

2 × 3 × 3 × 11

/

2 × 3 × 3 × 7

=

11

/

7

Simplifying Fraction 198/126 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [198] and denominator [126] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

198 ÷ 2

/

126 ÷ 2

=

99

/

63

99 ÷ 3

/

63 ÷ 3

=

33

/

21

33 ÷ 3

/

21 ÷ 3

=

11

/

7

Fraction Simplification Table

Fraction	Lowest Terms
198/111	66/37
198/112	99/56
198/113	198/113
198/114	33/19
198/115	198/115
198/116	99/58
198/117	22/13
198/118	99/59
198/119	198/119
198/120	33/20
198/121	18/11
198/122	99/61
198/123	66/41
198/124	99/62
198/125	198/125
198/126	11/7
198/127	198/127
198/128	99/64
198/129	66/43
198/130	99/65
198/131	198/131
198/132	3/2
198/133	198/133
198/134	99/67
198/135	22/15
198/136	99/68
198/137	198/137
198/138	33/23
198/139	198/139
198/140	99/70

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 198/126 Simplified? (The answer is: 11/7). Enter the fraction (numerator and denominator) (e.g. '198/126') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 198/126) 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).

198/126 Simplified