72/40 Simplified

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].

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

FractionLowest Terms
72/2572/25
72/2636/13
72/27
72/28
72/2972/29
72/3172/31
72/32
72/3324/11
72/3436/17
72/35
72/3772/37
72/3836/19
72/3924/13
72/4172/41
72/42
72/4372/43
72/44
72/45
72/4636/23
72/4772/47
72/4972/49
72/50
72/5124/17
72/52
72/5372/53

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).

FAQ

What is 72/40 Simplified?

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