Simplify 308/1440 to Lowest Terms
308/1440 simplified to its lowest terms is 77/360 (or 0.213889 in decimal). See how to reduce 308/1440 using Greatest Common Divisor (GCD = 4).
Exact Answer
308/1440 = 77/360
Simplified Fraction
77/360
Mixed Number
Proper (77/360)
Decimal Value
0.213889
Percentage
21.3889%
Step-by-Step Solution: 308/1440 = 77/360
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 308:
• Factors of 1440:
• Factors of 308:
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308• Factors of 1440:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
GCD(308, 1440) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (308) and denominator (1440) by 4.
308 ÷ 4/1440 ÷ 4 = 77/360
Visual Representation
The diagram below illustrates Simplify 308/1440 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 77/360 |
| Mixed Number Form | 77/360 |
| Decimal Form | 0.213889 |
| Percentage | 21.3889% |
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Frequently Asked Questions
What is 308/1440 in simplest form?
308/1440 simplified to lowest terms is 77/360.
What is the GCD (GCF) of 308 and 1440?
The Greatest Common Divisor (GCD) of 308 and 1440 is 4.
What are equivalent fractions to 308/1440?
Equivalent fractions to 308/1440 include 154/720, 231/1080, and 308/1440.