72/45 Simplified

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What is 72/45 Simplified?

Answer

Fraction 72/45 simplified to lowest terms is 8/5
72
45
=
8
5

8/5 is the simplified fraction of 72/45.

Since the numerator [72] is greater than the denominator [45] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

8
5
=1
3
5

Simplifying Fraction 72/45 using GCF

The first way to simplify the fraction 72/45 is to use the Greatest Common Factor (GCF) of our numerator [72] and denominator [45].

GCF of 72 and 45 is 9

And then divide both the numerator [72] and denominator [45] by the GCF [9].

72 ÷ 9
45 ÷ 9
=
8
5

Simplifying Fraction 72/45 using Prime Factors

Another method to reduce the fraction 72/45 to its simplest form is to use the Prime Factors of numerator [72] and denominator [45].

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
3 × 3 × 5
=
8
5

Simplifying Fraction 72/45 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [72] and denominator [45] 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 ÷ 3
45 ÷ 3
=
24
15
24 ÷ 3
15 ÷ 3
=
8
5

See Also

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 72/45 Simplified? (The answer is: 8/5). Enter the fraction (numerator and denominator) (e.g. '72/45') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 72/45) 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).

Fraction Simplifier Calculator

Simplify the Fraction

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Fraction Simplification Table

FractionLowest Terms
72/3012/5
72/3172/31
72/329/4
72/3324/11
72/3436/17
72/3572/35
72/362/1
72/3772/37
72/3836/19
72/3924/13
72/409/5
72/4172/41
72/4212/7
72/4372/43
72/4418/11
72/458/5
72/4636/23
72/4772/47
72/483/2
72/4972/49
72/5036/25
72/5124/17
72/5218/13
72/5372/53
72/544/3
72/5572/55
72/569/7
72/5724/19
72/5836/29
72/5972/59

FAQ

What is 72/45 Simplified?

Fraction 72/45 simplified to lowest terms is 8/5

How do you simplify 72/45?

72/45 simplified to lowest terms is 8/5. Divide both the numerator and denominator by their GCF (9).

What is the GCF of 72 and 45?

The Greatest Common Factor of 72 and 45 is 9.