What is 45/36 Simplified to Simplest Form?

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What is 45/36 Simplified?

Answer

Fraction 45/36 simplified to lowest terms is 5/4

45

36

=

5

4

5/4 is the simplified fraction of 45/36.

Since the numerator [45] is greater than the denominator [36] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

5

4

=1

1

4

Simplifying Fraction 45/36 using GCF

The first way to simplify the fraction 45/36 is to use the Greatest Common Factor (GCF) of our numerator [45] and denominator [36].

GCF of 45 and 36 is 9

And then divide both the numerator [45] and denominator [36] by the GCF [9].

45 ÷ 9

36 ÷ 9

=

5

4

Simplifying Fraction 45/36 using Prime Factors

Another method to reduce the fraction 45/36 to its simplest form is to use the Prime Factors of numerator [45] and denominator [36].

Prime Factors of 45: 3,3,5

Prime Factors of 36: 2,2,3,3

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

3 × 3 × 5

2 × 2 × 3 × 3

=

5

4

Simplifying Fraction 45/36 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [45] and denominator [36] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

45 ÷ 3

36 ÷ 3

=

15

12

15 ÷ 3

12 ÷ 3

=

5

4

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 45/36 Simplified? (The answer is: 5/4). Enter the fraction (numerator and denominator) (e.g. '45/36') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 45/36) 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
45/9	5/1
45/10	9/2
45/12	15/4
45/14	45/14
45/16	45/16
45/18	5/2
45/20	9/4
45/21	15/7
45/24	15/8
45/25	9/5
45/27	5/3
45/28	45/28
45/30	3/2
45/33	15/11
45/35	9/7
45/36	5/4
45/39	15/13
45/40	9/8
45/45	1/1
45/46	45/46
45/47	45/47
45/48	15/16
45/49	45/49
45/50	9/10
45/51	15/17
45/54	5/6 (⅚)
45/55	9/11
45/56	45/56
45/57	15/19
45/60	3/4 (¾)

45/36 Simplified

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