What is 1218/1208 Simplified? (Reduce 1218/1208 to Lowest Terms: 609/604)

Exact Answer

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Problem: Simplify 1218/1208 to Lowest Terms
Formula / Expression: 1218/1208 = 609/604
Final Answer: 1 5/604 (609/604)
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1218: 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218
• Factors of 1208: 1, 2, 4, 8, 151, 302, 604, 1208
Working: GCD(1218, 1208) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1218) and denominator (1208) by 2.
Working: 1218 ÷ 2/1208 ÷ 2 = 609/604

Step 3: Convert Improper Fraction to a Mixed Number
Because 609 is larger than 604, 609/604 can also be written as the mixed number 1 5/604.
Working: 609/604 = 1 5/604

Key Values:
- Simplified Fraction: 609/604
- Mixed Number Form: 1 5/604
- Decimal Value: 1.008278
- Percentage: 100.8278%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1218-1208/
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1218/1208 = 609/604

Simplified Fraction

609/604

Mixed Number

1 5/604

Decimal Value

1.008278

Percentage

100.8278%

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Step-by-Step Solution: 1218/1208 = 609/604

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1218: 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218
• Factors of 1208: 1, 2, 4, 8, 151, 302, 604, 1208

GCD(1218, 1208) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1218) and denominator (1208) by 2.

1218 ÷ 2/1208 ÷ 2 = 609/604

Step 3

Convert Improper Fraction to a Mixed Number

Because 609 is larger than 604, 609/604 can also be written as the mixed number 1 5/604.

609/604 = 15/604

Visual Representation

The diagram below illustrates Simplify 1218/1208 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`609/604`
Mixed Number Form	`1 5/604`
Decimal Form	`1.008278`
Percentage	`100.8278%`

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Frequently Asked Questions

What is 1218/1208 in simplest form?

1218/1208 simplified to lowest terms is 609/604.

What is the GCD (GCF) of 1218 and 1208?

The Greatest Common Divisor (GCD) of 1218 and 1208 is 2.

What are equivalent fractions to 1218/1208?

Equivalent fractions to 1218/1208 include 1218/1208, 1827/1812, and 2436/2416.