Simplify 642/1380 to Lowest Terms
642/1380 simplified to its lowest terms is 107/230 (or 0.465217 in decimal). See how to reduce 642/1380 using Greatest Common Divisor (GCD = 6).
Exact Answer
642/1380 = 107/230
Simplified Fraction
107/230
Mixed Number
Proper (107/230)
Decimal Value
0.465217
Percentage
46.5217%
Step-by-Step Solution: 642/1380 = 107/230
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 642:
• Factors of 1380:
• Factors of 642:
1, 2, 3, 6, 107, 214, 321, 642• Factors of 1380:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92
GCD(642, 1380) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (642) and denominator (1380) by 6.
642 ÷ 6/1380 ÷ 6 = 107/230
Visual Representation
The diagram below illustrates Simplify 642/1380 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 107/230 |
| Mixed Number Form | 107/230 |
| Decimal Form | 0.465217 |
| Percentage | 46.5217% |
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Frequently Asked Questions
What is 642/1380 in simplest form?
642/1380 simplified to lowest terms is 107/230.
What is the GCD (GCF) of 642 and 1380?
The Greatest Common Divisor (GCD) of 642 and 1380 is 6.
What are equivalent fractions to 642/1380?
Equivalent fractions to 642/1380 include 214/460, 321/690, and 428/920.