Simplify 60/120 to Lowest Terms
60/120 simplified to its lowest terms is 1/2 (or 0.5 in decimal). See how to reduce 60/120 using Greatest Common Divisor (GCD = 60).
Exact Answer
60/120 = 1/2
Simplified Fraction
1/2
Mixed Number
Proper (1/2)
Decimal Value
0.5
Percentage
50%
Step-by-Step Solution: 60/120 = 1/2
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 120:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(60, 120) = 60
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 60. Divide both the numerator (60) and denominator (120) by 60.
60 ÷ 60/120 ÷ 60 = 1/2
Visual Representation
The diagram below illustrates Simplify 60/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/2 |
| Mixed Number Form | 1/2 |
| Decimal Form | 0.5 |
| Percentage | 50% |
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Frequently Asked Questions
What is 60/120 in simplest form?
60/120 simplified to lowest terms is 1/2.
What is the GCD (GCF) of 60 and 120?
The Greatest Common Divisor (GCD) of 60 and 120 is 60.
What are equivalent fractions to 60/120?
Equivalent fractions to 60/120 include 2/4, 3/6, and 4/8.