120/42 Simplified

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What is 120/42 Simplified?

Answer

Fraction 120/42 simplified to lowest terms is 20/7
120
42
=
20
7

20/7 is the simplified fraction of 120/42.

Since the numerator [120] is greater than the denominator [42] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

20
7
= 2
6
7

Simplifying Fraction 120/42 using GCF

The first way to simplify the fraction 120/42 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [42].

GCF of 120 and 42 is 6

And then divide both the numerator [120] and denominator [42] by the GCF [6].

120 ÷ 6
42 ÷ 6
=
20
7

Simplifying Fraction 120/42 using Prime Factors

Another method to reduce the fraction 120/42 to its simplest form is to use the Prime Factors of numerator [120] and denominator [42].

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 × 3 × 7
=
20
7

Simplifying Fraction 120/42 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [120] and denominator [42] 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
42 ÷ 2
=
60
21
60 ÷ 3
21 ÷ 3
=
20
7

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 120/42 Simplified? (The answer is: 20/7). Enter the fraction (numerator and denominator) (e.g. '120/42') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 120/42) 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

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Fraction Simplification Table

Fraction Lowest Terms
120/27 40/9
120/28 30/7
120/29 120/29
120/30 4/1
120/31 120/31
120/32 15/4
120/33 40/11
120/34 60/17
120/35 24/7
120/36 10/3
120/37 120/37
120/38 60/19
120/39 40/13
120/40 3/1
120/41 120/41
120/42 20/7
120/43 120/43
120/44 30/11
120/45 8/3
120/46 60/23
120/47 120/47
120/48 5/2
120/49 120/49
120/50 12/5
120/51 40/17
120/52 30/13
120/53 120/53
120/54 20/9
120/55 24/11
120/56 15/7

FAQ

What is 120/42 Simplified?

Fraction 120/42 simplified to lowest terms is 20/7

How do you simplify 120/42?

120/42 simplified to lowest terms is 20/7. Divide both the numerator and denominator by their GCF (6).

What is the GCF of 120 and 42?

The Greatest Common Factor of 120 and 42 is 6.