Simplify 308/1320 to Lowest Terms
308/1320 simplified to its lowest terms is 7/30 (or 0.233333 in decimal). See how to reduce 308/1320 using Greatest Common Divisor (GCD = 44).
Exact Answer
308/1320 = 7/30
Simplified Fraction
7/30
Mixed Number
Proper (7/30)
Decimal Value
0.233333
Percentage
23.3333%
Step-by-Step Solution: 308/1320 = 7/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 308:
• Factors of 1320:
• Factors of 308:
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308• Factors of 1320:
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33
GCD(308, 1320) = 44
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 44. Divide both the numerator (308) and denominator (1320) by 44.
308 ÷ 44/1320 ÷ 44 = 7/30
Visual Representation
The diagram below illustrates Simplify 308/1320 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/30 |
| Mixed Number Form | 7/30 |
| Decimal Form | 0.233333 |
| Percentage | 23.3333% |
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Frequently Asked Questions
What is 308/1320 in simplest form?
308/1320 simplified to lowest terms is 7/30.
What is the GCD (GCF) of 308 and 1320?
The Greatest Common Divisor (GCD) of 308 and 1320 is 44.
What are equivalent fractions to 308/1320?
Equivalent fractions to 308/1320 include 14/60, 21/90, and 28/120.