Simplify 480/418 to Lowest Terms
480/418 simplified to its lowest terms is 240/209 (or 1.148325 in decimal). See how to reduce 480/418 using Greatest Common Divisor (GCD = 2).
Exact Answer
480/418 = 240/209
Simplified Fraction
240/209
Mixed Number
1 31/209
Decimal Value
1.148325
Percentage
114.8325%
Step-by-Step Solution: 480/418 = 240/209
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 480:
• Factors of 418:
• Factors of 480:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40• Factors of 418:
1, 2, 11, 19, 22, 38, 209, 418
GCD(480, 418) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (480) and denominator (418) by 2.
480 ÷ 2/418 ÷ 2 = 240/209
Step 3
Convert Improper Fraction to a Mixed Number
Because 240 is larger than 209, 240/209 can also be written as the mixed number 1 31/209.
240/209 = 131/209
Visual Representation
The diagram below illustrates Simplify 480/418 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 240/209 |
| Mixed Number Form | 1 31/209 |
| Decimal Form | 1.148325 |
| Percentage | 114.8325% |
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Frequently Asked Questions
What is 480/418 in simplest form?
480/418 simplified to lowest terms is 240/209.
What is the GCD (GCF) of 480 and 418?
The Greatest Common Divisor (GCD) of 480 and 418 is 2.
What are equivalent fractions to 480/418?
Equivalent fractions to 480/418 include 480/418, 720/627, and 960/836.