120/75 Simplified

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What is 120/75 Simplified?

Answer

Fraction 120/75 simplified to lowest terms is 8/5
120
75
=
8
5

8/5 is the simplified fraction of 120/75.

Since the numerator [120] is greater than the denominator [75] 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 120/75 using GCF

The first way to simplify the fraction 120/75 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [75].

GCF of 120 and 75 is 15

And then divide both the numerator [120] and denominator [75] by the GCF [15].

120 ÷ 15
75 ÷ 15
=
8
5

Simplifying Fraction 120/75 using Prime Factors

Another method to reduce the fraction 120/75 to its simplest form is to use the Prime Factors of numerator [120] and denominator [75].

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 × 5
3 × 5 × 5
=
8
5

Simplifying Fraction 120/75 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [120] and denominator [75] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

120 ÷ 3
75 ÷ 3
=
40
25
40 ÷ 5
25 ÷ 5
=
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 120/75 Simplified? (The answer is: 8/5). Enter the fraction (numerator and denominator) (e.g. '120/75') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 120/75) 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
120/602/1
120/61120/61
120/6260/31
120/6340/21
120/6415/8
120/6524/13
120/6620/11
120/67120/67
120/6830/17
120/6940/23
120/7012/7
120/71120/71
120/725/3
120/73120/73
120/7460/37
120/758/5
120/7630/19
120/77120/77
120/7820/13
120/79120/79
120/803/2
120/8140/27
120/8260/41
120/83120/83
120/8410/7
120/8524/17
120/8660/43
120/8740/29
120/8815/11
120/89120/89

FAQ

What is 120/75 Simplified?

Fraction 120/75 simplified to lowest terms is 8/5

How do you simplify 120/75?

120/75 simplified to lowest terms is 8/5. Divide both the numerator and denominator by their GCF (15).

What is the GCF of 120 and 75?

The Greatest Common Factor of 120 and 75 is 15.