Simplify 274/380 to Lowest Terms
274/380 simplified to its lowest terms is 137/190 (or 0.721053 in decimal). See how to reduce 274/380 using Greatest Common Divisor (GCD = 2).
Exact Answer
274/380 = 137/190
Simplified Fraction
137/190
Mixed Number
Proper (137/190)
Decimal Value
0.721053
Percentage
72.1053%
Step-by-Step Solution: 274/380 = 137/190
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 274:
• Factors of 380:
• Factors of 274:
1, 2, 137, 274• Factors of 380:
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD(274, 380) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (274) and denominator (380) by 2.
274 ÷ 2/380 ÷ 2 = 137/190
Visual Representation
The diagram below illustrates Simplify 274/380 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 137/190 |
| Mixed Number Form | 137/190 |
| Decimal Form | 0.721053 |
| Percentage | 72.1053% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 274/380 in simplest form?
274/380 simplified to lowest terms is 137/190.
What is the GCD (GCF) of 274 and 380?
The Greatest Common Divisor (GCD) of 274 and 380 is 2.
What are equivalent fractions to 274/380?
Equivalent fractions to 274/380 include 274/380, 411/570, and 548/760.