Simplify 50/120 to Lowest Terms
50/120 simplified to its lowest terms is 5/12 (or 0.416667 in decimal). See how to reduce 50/120 using Greatest Common Divisor (GCD = 10).
Exact Answer
50/120 = 5/12
Simplified Fraction
5/12
Mixed Number
Proper (5/12)
Decimal Value
0.416667
Percentage
41.6667%
Step-by-Step Solution: 50/120 = 5/12
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 50:
• Factors of 120:
• Factors of 50:
1, 2, 5, 10, 25, 50• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(50, 120) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (50) and denominator (120) by 10.
50 ÷ 10/120 ÷ 10 = 5/12
Visual Representation
The diagram below illustrates Simplify 50/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/12 |
| Mixed Number Form | 5/12 |
| Decimal Form | 0.416667 |
| Percentage | 41.6667% |
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Frequently Asked Questions
What is 50/120 in simplest form?
50/120 simplified to lowest terms is 5/12.
What is the GCD (GCF) of 50 and 120?
The Greatest Common Divisor (GCD) of 50 and 120 is 10.
What are equivalent fractions to 50/120?
Equivalent fractions to 50/120 include 10/24, 15/36, and 20/48.