45/120 Simplified

What is 45/120 Simplified?

Answer: Fraction 45/120 simplified to lowest terms is 3/8 (⅜)
45
/
120
=
3
/
8

3/8 (⅜) is the simplified fraction of 45/120.

Simplifying Fraction 45/120 using GCF

The first way to simplify the fraction 45/120 is to use the Greatest Common Factor (GCF) of our numerator [45] and denominator [120].

GCF of 45 and 120 is 15

And then divide both the numerator [45] and denominator [120] by the GCF [15].

45 ÷ 15
/
120 ÷ 15
=
3
/
8

Simplifying Fraction 45/120 using Prime Factors

Another method to reduce the fraction 45/120 to its simplest form is to use the Prime Factors of numerator [45] and denominator [120].

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 × 3 × 5
=
3
/
8

Simplifying Fraction 45/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [45] and denominator [120] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

45 ÷ 3
/
120 ÷ 3
=
15
/
40
15 ÷ 5
/
40 ÷ 5
=
3
/
8

Related Calculations

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 45/120 Simplified? (The answer is: 3/8 (⅜)). Enter the fraction (numerator and denominator) (e.g. '45/120') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 45/120) 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 Simplification Table

FractionLowest Terms
45/10645/106
45/10745/107
45/10945/109
45/110
45/111
45/11245/112
45/11345/113
45/114
45/115
45/11645/116
45/11845/118
45/11945/119
45/12145/121
45/12245/122
45/12315/41
45/12445/124
45/125
45/12745/127
45/12845/128
45/12915/43
45/130
45/13145/131
45/132
45/13345/133
45/13445/134

FAQ

What is 45/120 Simplified?

Fraction 45/120 simplified to lowest terms is 3/8 (⅜)