Simplify 38/120 to Lowest Terms
38/120 simplified to its lowest terms is 19/60 (or 0.316667 in decimal). See how to reduce 38/120 using Greatest Common Divisor (GCD = 2).
Exact Answer
38/120 = 19/60
Simplified Fraction
19/60
Mixed Number
Proper (19/60)
Decimal Value
0.316667
Percentage
31.6667%
Step-by-Step Solution: 38/120 = 19/60
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 38:
• Factors of 120:
• Factors of 38:
1, 2, 19, 38• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(38, 120) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (38) and denominator (120) by 2.
38 ÷ 2/120 ÷ 2 = 19/60
Visual Representation
The diagram below illustrates Simplify 38/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 19/60 |
| Mixed Number Form | 19/60 |
| Decimal Form | 0.316667 |
| Percentage | 31.6667% |
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Frequently Asked Questions
What is 38/120 in simplest form?
38/120 simplified to lowest terms is 19/60.
What is the GCD (GCF) of 38 and 120?
The Greatest Common Divisor (GCD) of 38 and 120 is 2.
What are equivalent fractions to 38/120?
Equivalent fractions to 38/120 include 38/120, 57/180, and 76/240.