Simplify 1380/2208 to Lowest Terms
1380/2208 simplified to its lowest terms is 5/8 (or 0.625 in decimal). See how to reduce 1380/2208 using Greatest Common Divisor (GCD = 276).
Exact Answer
1380/2208 = 5/8
Simplified Fraction
5/8
Mixed Number
Proper (5/8)
Decimal Value
0.625
Percentage
62.5%
Step-by-Step Solution: 1380/2208 = 5/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1380:
• Factors of 2208:
• Factors of 1380:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92• Factors of 2208:
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96
GCD(1380, 2208) = 276
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 276. Divide both the numerator (1380) and denominator (2208) by 276.
1380 ÷ 276/2208 ÷ 276 = 5/8
Visual Representation
The diagram below illustrates Simplify 1380/2208 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/8 |
| Mixed Number Form | 5/8 |
| Decimal Form | 0.625 |
| Percentage | 62.5% |
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Frequently Asked Questions
What is 1380/2208 in simplest form?
1380/2208 simplified to lowest terms is 5/8.
What is the GCD (GCF) of 1380 and 2208?
The Greatest Common Divisor (GCD) of 1380 and 2208 is 276.
What are equivalent fractions to 1380/2208?
Equivalent fractions to 1380/2208 include 10/16, 15/24, and 20/32.