What is 72/40 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 72/40 Simplified?

Answer: Fraction 72/40 simplified to lowest terms is 9/5

72

/

40

=

9

/

5

9/5 is the simplified fraction of 72/40.

Since the numerator [72] is greater than the denominator [40] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

9

/

5

=1

4

/

5

Simplifying Fraction 72/40 using GCF

The first way to simplify the fraction 72/40 is to use the Greatest Common Factor (GCF) of our numerator [72] and denominator [40].

GCF of 72 and 40 is 8

And then divide both the numerator [72] and denominator [40] by the GCF [8].

72 ÷ 8

/

40 ÷ 8

=

9

/

5

Simplifying Fraction 72/40 using Prime Factors

Another method to reduce the fraction 72/40 to its simplest form is to use the Prime Factors of numerator [72] and denominator [40].

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

Prime Factors of 40: 2,2,2,5

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 × 2 × 2 × 5

=

9

/

5

Simplifying Fraction 72/40 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [72] and denominator [40] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

72 ÷ 2

/

40 ÷ 2

=

36

/

20

36 ÷ 2

/

20 ÷ 2

=

18

/

10

18 ÷ 2

/

10 ÷ 2

=

9

/

5

Fraction Simplification Table

Fraction	Lowest Terms
72/25	72/25
72/26	36/13
72/27	8/3
72/28	18/7
72/29	72/29
72/30	12/5
72/31	72/31
72/32	9/4
72/33	24/11
72/34	36/17
72/35	72/35
72/36	2/1
72/37	72/37
72/38	36/19
72/39	24/13
72/40	9/5
72/41	72/41
72/42	12/7
72/43	72/43
72/44	18/11
72/45	8/5
72/46	36/23
72/47	72/47
72/48	3/2
72/49	72/49
72/50	36/25
72/51	24/17
72/52	18/13
72/53	72/53
72/54	4/3

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 72/40 Simplified? (The answer is: 9/5). Enter the fraction (numerator and denominator) (e.g. '72/40') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 72/40) 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).

72/40 Simplified