What is 1602/1608 Simplified? (Reduce 1602/1608 to Lowest Terms: 267/268)

Exact Answer

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Problem: Simplify 1602/1608 to Lowest Terms
Formula / Expression: 1602/1608 = 267/268
Final Answer: 267/268
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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 1608: 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
Working: GCD(1602, 1608) = 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 (1608) by 6.
Working: 1602 ÷ 6/1608 ÷ 6 = 267/268

Key Values:
- Simplified Fraction: 267/268
- Mixed Number Form: 267/268
- Decimal Value: 0.996269
- Percentage: 99.6269%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1602-1608/
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1602/1608 = 267/268

Simplified Fraction

267/268

Mixed Number

Proper (267/268)

Decimal Value

0.996269

Percentage

99.6269%

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Step-by-Step Solution: 1602/1608 = 267/268

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 1608: 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608

GCD(1602, 1608) = 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 (1608) by 6.

1602 ÷ 6/1608 ÷ 6 = 267/268

Visual Representation

The diagram below illustrates Simplify 1602/1608 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`267/268`
Mixed Number Form	`267/268`
Decimal Form	`0.996269`
Percentage	`99.6269%`

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Frequently Asked Questions

What is 1602/1608 in simplest form?

1602/1608 simplified to lowest terms is 267/268.

What is the GCD (GCF) of 1602 and 1608?

The Greatest Common Divisor (GCD) of 1602 and 1608 is 6.

What are equivalent fractions to 1602/1608?

Equivalent fractions to 1602/1608 include 534/536, 801/804, and 1068/1072.