120/32 Simplified

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What is 120/32 Simplified?

Answer

Fraction 120/32 simplified to lowest terms is 15/4
120
32
=
15
4

15/4 is the simplified fraction of 120/32.

Since the numerator [120] is greater than the denominator [32] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

15
4
=3
3
4

Simplifying Fraction 120/32 using GCF

The first way to simplify the fraction 120/32 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [32].

GCF of 120 and 32 is 8

And then divide both the numerator [120] and denominator [32] by the GCF [8].

120 ÷ 8
32 ÷ 8
=
15
4

Simplifying Fraction 120/32 using Prime Factors

Another method to reduce the fraction 120/32 to its simplest form is to use the Prime Factors of numerator [120] and denominator [32].

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
2 × 2 × 2 × 2 × 2
=
15
4

Simplifying Fraction 120/32 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [120] and denominator [32] 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 ÷ 2
32 ÷ 2
=
60
16
60 ÷ 2
16 ÷ 2
=
30
8
30 ÷ 2
8 ÷ 2
=
15
4

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 120/32 Simplified? (The answer is: 15/4). Enter the fraction (numerator and denominator) (e.g. '120/32') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 120/32) 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

FAQ

What is 120/32 Simplified?

Fraction 120/32 simplified to lowest terms is 15/4

How do you simplify 120/32?

120/32 simplified to lowest terms is 15/4. Divide both the numerator and denominator by their GCF (8).

What is the GCF of 120 and 32?

The Greatest Common Factor of 120 and 32 is 8.