Simplify 380/824 to Lowest Terms
380/824 simplified to its lowest terms is 95/206 (or 0.461165 in decimal). See how to reduce 380/824 using Greatest Common Divisor (GCD = 4).
Exact Answer
380/824 = 95/206
Simplified Fraction
95/206
Mixed Number
Proper (95/206)
Decimal Value
0.461165
Percentage
46.1165%
Step-by-Step Solution: 380/824 = 95/206
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 380:
• Factors of 824:
• Factors of 380:
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380• Factors of 824:
1, 2, 4, 8, 103, 206, 412, 824
GCD(380, 824) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (380) and denominator (824) by 4.
380 ÷ 4/824 ÷ 4 = 95/206
Visual Representation
The diagram below illustrates Simplify 380/824 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 95/206 |
| Mixed Number Form | 95/206 |
| Decimal Form | 0.461165 |
| Percentage | 46.1165% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 380/824 in simplest form?
380/824 simplified to lowest terms is 95/206.
What is the GCD (GCF) of 380 and 824?
The Greatest Common Divisor (GCD) of 380 and 824 is 4.
What are equivalent fractions to 380/824?
Equivalent fractions to 380/824 include 190/412, 285/618, and 380/824.