Simplify 120/436 to Lowest Terms
120/436 simplified to its lowest terms is 30/109 (or 0.275229 in decimal). See how to reduce 120/436 using Greatest Common Divisor (GCD = 4).
Exact Answer
120/436 = 30/109
Simplified Fraction
30/109
Mixed Number
Proper (30/109)
Decimal Value
0.275229
Percentage
27.5229%
Step-by-Step Solution: 120/436 = 30/109
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 120:
โข Factors of 436:
โข Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120โข Factors of 436:
1, 2, 4, 109, 218, 436
GCD(120, 436) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (120) and denominator (436) by 4.
120 รท 4/436 รท 4 = 30/109
Visual Representation
The diagram below illustrates Simplify 120/436 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 30/109 |
| Mixed Number Form | 30/109 |
| Decimal Form | 0.275229 |
| Percentage | 27.5229% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 120/436 in simplest form?
120/436 simplified to lowest terms is 30/109.
What is the GCD (GCF) of 120 and 436?
The Greatest Common Divisor (GCD) of 120 and 436 is 4.
What are equivalent fractions to 120/436?
Equivalent fractions to 120/436 include 60/218, 90/327, and 120/436.