What is 72/10 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 72/10 Simplified?

Answer

Fraction 72/10 simplified to lowest terms is 36/5

72

10

=

36

5

36/5 is the simplified fraction of 72/10.

Since the numerator [72] is greater than the denominator [10] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

36

5

=7

1

5

Simplifying Fraction 72/10 using GCF

The first way to simplify the fraction 72/10 is to use the Greatest Common Factor (GCF) of our numerator [72] and denominator [10].

GCF of 72 and 10 is 2

And then divide both the numerator [72] and denominator [10] by the GCF [2].

72 ÷ 2

10 ÷ 2

=

36

5

Simplifying Fraction 72/10 using Prime Factors

Another method to reduce the fraction 72/10 to its simplest form is to use the Prime Factors of numerator [72] and denominator [10].

Prime Factors of 72: 2,2,2,3,3

Prime Factors of 10: 2,5

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

2 × 2 × 2 × 3 × 3

2 × 5

=

36

5

Simplifying Fraction 72/10 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [72] and denominator [10] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

72 ÷ 2

10 ÷ 2

=

36

5

Fraction Simplification Table

Fraction	Lowest Terms
72/1	72/1
72/2	36/1
72/3	24/1
72/4	18/1
72/5	72/5
72/6	12/1
72/7	72/7
72/8	9/1
72/9	8/1
72/10	36/5
72/11	72/11
72/12	6/1
72/13	72/13
72/14	36/7
72/15	24/5
72/16	9/2
72/17	72/17
72/18	4/1
72/19	72/19
72/20	18/5
72/21	24/7
72/22	36/11
72/23	72/23
72/24	3/1
72/25	72/25
72/26	36/13
72/27	8/3
72/28	18/7
72/29	72/29
72/30	12/5

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 72/10 Simplified? (The answer is: 36/5). Enter the fraction (numerator and denominator) (e.g. '72/10') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 72/10) 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).

72/10 Simplified