What is 49/42 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 49/42 Simplified?

Answer

Fraction 49/42 simplified to lowest terms is 7/6

49

42

=

7

6

7/6 is the simplified fraction of 49/42.

Since the numerator [49] is greater than the denominator [42] 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 49/42 using GCF

The first way to simplify the fraction 49/42 is to use the Greatest Common Factor (GCF) of our numerator [49] and denominator [42].

GCF of 49 and 42 is 7

And then divide both the numerator [49] and denominator [42] by the GCF [7].

49 ÷ 7

42 ÷ 7

=

7

6

Simplifying Fraction 49/42 using Prime Factors

Another method to reduce the fraction 49/42 to its simplest form is to use the Prime Factors of numerator [49] and denominator [42].

Prime Factors of 49: 7,7

Prime Factors of 42: 2,3,7

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 × 7

=

7

6

Simplifying Fraction 49/42 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [49] and denominator [42] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

49 ÷ 7

42 ÷ 7

=

7

6

Fraction Simplification Table

Fraction	Lowest Terms
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
49/45	49/45
49/46	49/46
49/47	49/47
49/48	49/48
49/49	1/1
49/50	49/50
49/51	49/51
49/52	49/52
49/53	49/53
49/54	49/54
49/55	49/55
49/56	7/8 (⅞)

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 49/42 Simplified? (The answer is: 7/6). Enter the fraction (numerator and denominator) (e.g. '49/42') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 49/42) 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).

49/42 Simplified