Simplify 308/1344 to Lowest Terms
308/1344 simplified to its lowest terms is 11/48 (or 0.229167 in decimal). See how to reduce 308/1344 using Greatest Common Divisor (GCD = 28).
Exact Answer
308/1344 = 11/48
Simplified Fraction
11/48
Mixed Number
Proper (11/48)
Decimal Value
0.229167
Percentage
22.9167%
Step-by-Step Solution: 308/1344 = 11/48
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 308:
• Factors of 1344:
• Factors of 308:
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308• Factors of 1344:
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
GCD(308, 1344) = 28
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 28. Divide both the numerator (308) and denominator (1344) by 28.
308 ÷ 28/1344 ÷ 28 = 11/48
Visual Representation
The diagram below illustrates Simplify 308/1344 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 11/48 |
| Mixed Number Form | 11/48 |
| Decimal Form | 0.229167 |
| Percentage | 22.9167% |
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Frequently Asked Questions
What is 308/1344 in simplest form?
308/1344 simplified to lowest terms is 11/48.
What is the GCD (GCF) of 308 and 1344?
The Greatest Common Divisor (GCD) of 308 and 1344 is 28.
What are equivalent fractions to 308/1344?
Equivalent fractions to 308/1344 include 22/96, 33/144, and 44/192.