Simplify 520/310 to Lowest Terms
520/310 simplified to its lowest terms is 52/31 (or 1.677419 in decimal). See how to reduce 520/310 using Greatest Common Divisor (GCD = 10).
Exact Answer
520/310 = 52/31
Simplified Fraction
52/31
Mixed Number
1 21/31
Decimal Value
1.677419
Percentage
167.7419%
Step-by-Step Solution: 520/310 = 52/31
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 520:
• Factors of 310:
• Factors of 520:
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520• Factors of 310:
1, 2, 5, 10, 31, 62, 155, 310
GCD(520, 310) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (520) and denominator (310) by 10.
520 ÷ 10/310 ÷ 10 = 52/31
Step 3
Convert Improper Fraction to a Mixed Number
Because 52 is larger than 31, 52/31 can also be written as the mixed number 1 21/31.
52/31 = 121/31
Visual Representation
The diagram below illustrates Simplify 520/310 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 52/31 |
| Mixed Number Form | 1 21/31 |
| Decimal Form | 1.677419 |
| Percentage | 167.7419% |
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Frequently Asked Questions
What is 520/310 in simplest form?
520/310 simplified to lowest terms is 52/31.
What is the GCD (GCF) of 520 and 310?
The Greatest Common Divisor (GCD) of 520 and 310 is 10.
What are equivalent fractions to 520/310?
Equivalent fractions to 520/310 include 104/62, 156/93, and 208/124.