What is 1602/1308 Simplified? (Reduce 1602/1308 to Lowest Terms: 267/218)

Exact Answer

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Problem: Simplify 1602/1308 to Lowest Terms
Formula / Expression: 1602/1308 = 267/218
Final Answer: 1 49/218 (267/218)
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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 1602: 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602
• Factors of 1308: 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
Working: GCD(1602, 1308) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (1602) and denominator (1308) by 6.
Working: 1602 ÷ 6/1308 ÷ 6 = 267/218

Step 3: Convert Improper Fraction to a Mixed Number
Because 267 is larger than 218, 267/218 can also be written as the mixed number 1 49/218.
Working: 267/218 = 1 49/218

Key Values:
- Simplified Fraction: 267/218
- Mixed Number Form: 1 49/218
- Decimal Value: 1.224771
- Percentage: 122.4771%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1602-1308/
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1602/1308 = 267/218

Simplified Fraction

267/218

Mixed Number

1 49/218

Decimal Value

1.224771

Percentage

122.4771%

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Step-by-Step Solution: 1602/1308 = 267/218

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1602: 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602
• Factors of 1308: 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308

GCD(1602, 1308) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (1602) and denominator (1308) by 6.

1602 ÷ 6/1308 ÷ 6 = 267/218

Step 3

Convert Improper Fraction to a Mixed Number

Because 267 is larger than 218, 267/218 can also be written as the mixed number 1 49/218.

267/218 = 149/218

Visual Representation

The diagram below illustrates Simplify 1602/1308 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`267/218`
Mixed Number Form	`1 49/218`
Decimal Form	`1.224771`
Percentage	`122.4771%`

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Frequently Asked Questions

What is 1602/1308 in simplest form?

1602/1308 simplified to lowest terms is 267/218.

What is the GCD (GCF) of 1602 and 1308?

The Greatest Common Divisor (GCD) of 1602 and 1308 is 6.

What are equivalent fractions to 1602/1308?

Equivalent fractions to 1602/1308 include 534/436, 801/654, and 1068/872.