Simplify 516/480 to Lowest Terms
516/480 simplified to its lowest terms is 43/40 (or 1.075 in decimal). See how to reduce 516/480 using Greatest Common Divisor (GCD = 12).
Exact Answer
516/480 = 43/40
Simplified Fraction
43/40
Mixed Number
1 3/40
Decimal Value
1.075
Percentage
107.5%
Step-by-Step Solution: 516/480 = 43/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 516:
• Factors of 480:
• Factors of 516:
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516• Factors of 480:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
GCD(516, 480) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (516) and denominator (480) by 12.
516 ÷ 12/480 ÷ 12 = 43/40
Step 3
Convert Improper Fraction to a Mixed Number
Because 43 is larger than 40, 43/40 can also be written as the mixed number 1 3/40.
43/40 = 13/40
Visual Representation
The diagram below illustrates Simplify 516/480 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 43/40 |
| Mixed Number Form | 1 3/40 |
| Decimal Form | 1.075 |
| Percentage | 107.5% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 516/480 in simplest form?
516/480 simplified to lowest terms is 43/40.
What is the GCD (GCF) of 516 and 480?
The Greatest Common Divisor (GCD) of 516 and 480 is 12.
What are equivalent fractions to 516/480?
Equivalent fractions to 516/480 include 86/80, 129/120, and 172/160.