Simplify 310/1420 to Lowest Terms
310/1420 simplified to its lowest terms is 31/142 (or 0.21831 in decimal). See how to reduce 310/1420 using Greatest Common Divisor (GCD = 10).
Exact Answer
310/1420 = 31/142
Simplified Fraction
31/142
Mixed Number
Proper (31/142)
Decimal Value
0.21831
Percentage
21.831%
Step-by-Step Solution: 310/1420 = 31/142
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 310:
• Factors of 1420:
• Factors of 310:
1, 2, 5, 10, 31, 62, 155, 310• Factors of 1420:
1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
GCD(310, 1420) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (310) and denominator (1420) by 10.
310 ÷ 10/1420 ÷ 10 = 31/142
Visual Representation
The diagram below illustrates Simplify 310/1420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 31/142 |
| Mixed Number Form | 31/142 |
| Decimal Form | 0.21831 |
| Percentage | 21.831% |
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Frequently Asked Questions
What is 310/1420 in simplest form?
310/1420 simplified to lowest terms is 31/142.
What is the GCD (GCF) of 310 and 1420?
The Greatest Common Divisor (GCD) of 310 and 1420 is 10.
What are equivalent fractions to 310/1420?
Equivalent fractions to 310/1420 include 62/284, 93/426, and 124/568.