Simplify 380/576 to Lowest Terms
380/576 simplified to its lowest terms is 95/144 (or 0.659722 in decimal). See how to reduce 380/576 using Greatest Common Divisor (GCD = 4).
Exact Answer
380/576 = 95/144
Simplified Fraction
95/144
Mixed Number
Proper (95/144)
Decimal Value
0.659722
Percentage
65.9722%
Step-by-Step Solution: 380/576 = 95/144
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 380:
• Factors of 576:
• Factors of 380:
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380• Factors of 576:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
GCD(380, 576) = 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 (576) by 4.
380 ÷ 4/576 ÷ 4 = 95/144
Visual Representation
The diagram below illustrates Simplify 380/576 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 95/144 |
| Mixed Number Form | 95/144 |
| Decimal Form | 0.659722 |
| Percentage | 65.9722% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 380/576 in simplest form?
380/576 simplified to lowest terms is 95/144.
What is the GCD (GCF) of 380 and 576?
The Greatest Common Divisor (GCD) of 380 and 576 is 4.
What are equivalent fractions to 380/576?
Equivalent fractions to 380/576 include 190/288, 285/432, and 380/576.