Simplify 120/214 to Lowest Terms
120/214 simplified to its lowest terms is 60/107 (or 0.560748 in decimal). See how to reduce 120/214 using Greatest Common Divisor (GCD = 2).
Exact Answer
120/214 = 60/107
Simplified Fraction
60/107
Mixed Number
Proper (60/107)
Decimal Value
0.560748
Percentage
56.0748%
Step-by-Step Solution: 120/214 = 60/107
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 120:
• Factors of 214:
• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120• Factors of 214:
1, 2, 107, 214
GCD(120, 214) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (120) and denominator (214) by 2.
120 ÷ 2/214 ÷ 2 = 60/107
Visual Representation
The diagram below illustrates Simplify 120/214 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 60/107 |
| Mixed Number Form | 60/107 |
| Decimal Form | 0.560748 |
| Percentage | 56.0748% |
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Frequently Asked Questions
What is 120/214 in simplest form?
120/214 simplified to lowest terms is 60/107.
What is the GCD (GCF) of 120 and 214?
The Greatest Common Divisor (GCD) of 120 and 214 is 2.
What are equivalent fractions to 120/214?
Equivalent fractions to 120/214 include 120/214, 180/321, and 240/428.