What is 45/40 Simplified to Simplest Form?

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What is 45/40 Simplified?

Answer

Fraction 45/40 simplified to lowest terms is 9/8

45

40

=

9

8

9/8 is the simplified fraction of 45/40.

Since the numerator [45] 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

8

=1

1

8

Simplifying Fraction 45/40 using GCF

The first way to simplify the fraction 45/40 is to use the Greatest Common Factor (GCF) of our numerator [45] and denominator [40].

GCF of 45 and 40 is 5

And then divide both the numerator [45] and denominator [40] by the GCF [5].

45 ÷ 5

40 ÷ 5

=

9

8

Simplifying Fraction 45/40 using Prime Factors

Another method to reduce the fraction 45/40 to its simplest form is to use the Prime Factors of numerator [45] and denominator [40].

Prime Factors of 45: 3,3,5

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:

3 × 3 × 5

2 × 2 × 2 × 5

=

9

8

Simplifying Fraction 45/40 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [45] 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 remainder.

45 ÷ 5

40 ÷ 5

=

9

8

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This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 45/40 Simplified? (The answer is: 9/8). Enter the fraction (numerator and denominator) (e.g. '45/40') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 45/40) 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).

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Fraction Simplification Table

Fraction	Lowest Terms
45/25	9/5
45/26	45/26
45/27	5/3
45/28	45/28
45/29	45/29
45/30	3/2
45/31	45/31
45/32	45/32
45/33	15/11
45/34	45/34
45/35	9/7
45/36	5/4
45/37	45/37
45/38	45/38
45/39	15/13
45/40	9/8
45/41	45/41
45/42	15/14
45/43	45/43
45/44	45/44
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
45/52	45/52
45/53	45/53
45/54	5/6 (⅚)

45/40 Simplified

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