Simplify 520/398 to Lowest Terms
520/398 simplified to its lowest terms is 260/199 (or 1.306533 in decimal). See how to reduce 520/398 using Greatest Common Divisor (GCD = 2).
Exact Answer
520/398 = 260/199
Simplified Fraction
260/199
Mixed Number
1 61/199
Decimal Value
1.306533
Percentage
130.6533%
Step-by-Step Solution: 520/398 = 260/199
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 520:
• Factors of 398:
• Factors of 520:
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520• Factors of 398:
1, 2, 199, 398
GCD(520, 398) = 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 (398) by 2.
520 ÷ 2/398 ÷ 2 = 260/199
Step 3
Convert Improper Fraction to a Mixed Number
Because 260 is larger than 199, 260/199 can also be written as the mixed number 1 61/199.
260/199 = 161/199
Visual Representation
The diagram below illustrates Simplify 520/398 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 260/199 |
| Mixed Number Form | 1 61/199 |
| Decimal Form | 1.306533 |
| Percentage | 130.6533% |
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Frequently Asked Questions
What is 520/398 in simplest form?
520/398 simplified to lowest terms is 260/199.
What is the GCD (GCF) of 520 and 398?
The Greatest Common Divisor (GCD) of 520 and 398 is 2.
What are equivalent fractions to 520/398?
Equivalent fractions to 520/398 include 520/398, 780/597, and 1040/796.