What is 49/30 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 49/30 Simplified?

Answer: Fraction 49/30 simplified to lowest terms is 49/30

49

/

30

The fraction 49/30 is already in the simplest form, so it isn't possible to reduce it any further - numerator 49 and denominator 30 have no common factors other than 1 (one)

Since the numerator [49] is greater than the denominator [30] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

49

/

30

=1

19

/

30

Simplifying Fraction 49/30 using GCF

The first way to simplify the fraction 49/30 is to use the Greatest Common Factor (GCF) of our numerator [49] and denominator [30].

GCF of 49 and 30 is 1

And then divide both the numerator [49] and denominator [30] by the GCF [1].

49 ÷ 1

/

30 ÷ 1

=

49

/

30

Simplifying Fraction 49/30 using Prime Factors

Another method to reduce the fraction 49/30 to its simplest form is to use the Prime Factors of numerator [49] and denominator [30].

Prime Factors of 49: 7,7

Prime Factors of 30: 2,3,5

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

7 × 7

/

2 × 3 × 5

=

49

/

30

Simplifying Fraction 49/30 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [49] and denominator [30] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

In our case (49/30) there is no possible numbers to divide our numerator and denominator.

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
49/15	49/15
49/16	49/16
49/17	49/17
49/18	49/18
49/19	49/19
49/20	49/20
49/21	7/3
49/22	49/22
49/23	49/23
49/24	49/24
49/25	49/25
49/26	49/26
49/27	49/27
49/28	7/4
49/29	49/29
49/30	49/30
49/31	49/31
49/32	49/32
49/33	49/33
49/34	49/34
49/35	7/5
49/36	49/36
49/37	49/37
49/38	49/38
49/39	49/39
49/40	49/40
49/41	49/41
49/42	7/6
49/43	49/43
49/44	49/44

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 49/30 Simplified? (The answer is: 49/30). Enter the fraction (numerator and denominator) (e.g. '49/30') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 49/30) 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).

49/30 Simplified