Simplify 408/310 to Lowest Terms
408/310 simplified to its lowest terms is 204/155 (or 1.316129 in decimal). See how to reduce 408/310 using Greatest Common Divisor (GCD = 2).
Exact Answer
408/310 = 204/155
Simplified Fraction
204/155
Mixed Number
1 49/155
Decimal Value
1.316129
Percentage
131.6129%
Step-by-Step Solution: 408/310 = 204/155
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 408:
• Factors of 310:
• Factors of 408:
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408• Factors of 310:
1, 2, 5, 10, 31, 62, 155, 310
GCD(408, 310) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (408) and denominator (310) by 2.
408 ÷ 2/310 ÷ 2 = 204/155
Step 3
Convert Improper Fraction to a Mixed Number
Because 204 is larger than 155, 204/155 can also be written as the mixed number 1 49/155.
204/155 = 149/155
Visual Representation
The diagram below illustrates Simplify 408/310 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 204/155 |
| Mixed Number Form | 1 49/155 |
| Decimal Form | 1.316129 |
| Percentage | 131.6129% |
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Frequently Asked Questions
What is 408/310 in simplest form?
408/310 simplified to lowest terms is 204/155.
What is the GCD (GCF) of 408 and 310?
The Greatest Common Divisor (GCD) of 408 and 310 is 2.
What are equivalent fractions to 408/310?
Equivalent fractions to 408/310 include 408/310, 612/465, and 816/620.