What is 42/9 Simplified to Simplest Form?

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What is 42/9 Simplified?

Answer

Fraction 42/9 simplified to lowest terms is 14/3

42

9

=

14

3

14/3 is the simplified fraction of 42/9.

Since the numerator [42] is greater than the denominator [9] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

14

3

=4

2

3

Simplifying Fraction 42/9 using GCF

The first way to simplify the fraction 42/9 is to use the Greatest Common Factor (GCF) of our numerator [42] and denominator [9].

GCF of 42 and 9 is 3

And then divide both the numerator [42] and denominator [9] by the GCF [3].

42 ÷ 3

9 ÷ 3

=

14

3

Simplifying Fraction 42/9 using Prime Factors

Another method to reduce the fraction 42/9 to its simplest form is to use the Prime Factors of numerator [42] and denominator [9].

Prime Factors of 42: 2,3,7

Prime Factors of 9: 3,3

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

2 × 3 × 7

3 × 3

=

14

3

Simplifying Fraction 42/9 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [42] and denominator [9] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

42 ÷ 3

9 ÷ 3

=

14

3

Related Calculations

What is 42/9 as a Mixed Number?

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 42/9 Simplified? (The answer is: 14/3). Enter the fraction (numerator and denominator) (e.g. '42/9') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 42/9) 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).

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Fraction Simplification Table

Fraction	Lowest Terms
42/1	42/1
42/2	21/1
42/3	14/1
42/4	21/2
42/5	42/5
42/6	7/1
42/7	6/1
42/8	21/4
42/9	14/3
42/10	21/5
42/11	42/11
42/12	7/2
42/13	42/13
42/14	3/1
42/15	14/5
42/16	21/8
42/17	42/17
42/18	7/3
42/19	42/19
42/20	21/10
42/21	2/1
42/22	21/11
42/23	42/23
42/24	7/4
42/25	42/25
42/26	21/13
42/27	14/9
42/28	3/2
42/29	42/29
42/30	7/5

42/9 Simplified

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