Simplify 520/382 to Lowest Terms
520/382 simplified to its lowest terms is 260/191 (or 1.361257 in decimal). See how to reduce 520/382 using Greatest Common Divisor (GCD = 2).
Exact Answer
520/382 = 260/191
Simplified Fraction
260/191
Mixed Number
1 69/191
Decimal Value
1.361257
Percentage
136.1257%
Step-by-Step Solution: 520/382 = 260/191
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 520:
• Factors of 382:
• Factors of 520:
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520• Factors of 382:
1, 2, 191, 382
GCD(520, 382) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (520) and denominator (382) by 2.
520 ÷ 2/382 ÷ 2 = 260/191
Step 3
Convert Improper Fraction to a Mixed Number
Because 260 is larger than 191, 260/191 can also be written as the mixed number 1 69/191.
260/191 = 169/191
Visual Representation
The diagram below illustrates Simplify 520/382 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 260/191 |
| Mixed Number Form | 1 69/191 |
| Decimal Form | 1.361257 |
| Percentage | 136.1257% |
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Frequently Asked Questions
What is 520/382 in simplest form?
520/382 simplified to lowest terms is 260/191.
What is the GCD (GCF) of 520 and 382?
The Greatest Common Divisor (GCD) of 520 and 382 is 2.
What are equivalent fractions to 520/382?
Equivalent fractions to 520/382 include 520/382, 780/573, and 1040/764.