What is 1602/1304 Simplified? (Reduce 1602/1304 to Lowest Terms: 801/652)

Exact Answer

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Problem: Simplify 1602/1304 to Lowest Terms
Formula / Expression: 1602/1304 = 801/652
Final Answer: 1 149/652 (801/652)
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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 1304: 1, 2, 4, 8, 163, 326, 652, 1304
Working: GCD(1602, 1304) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1602) and denominator (1304) by 2.
Working: 1602 ÷ 2/1304 ÷ 2 = 801/652

Step 3: Convert Improper Fraction to a Mixed Number
Because 801 is larger than 652, 801/652 can also be written as the mixed number 1 149/652.
Working: 801/652 = 1 149/652

Key Values:
- Simplified Fraction: 801/652
- Mixed Number Form: 1 149/652
- Decimal Value: 1.228528
- Percentage: 122.8528%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1602-1304/
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1602/1304 = 801/652

Simplified Fraction

801/652

Mixed Number

1 149/652

Decimal Value

1.228528

Percentage

122.8528%

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Step-by-Step Solution: 1602/1304 = 801/652

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 1304: 1, 2, 4, 8, 163, 326, 652, 1304

GCD(1602, 1304) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1602) and denominator (1304) by 2.

1602 ÷ 2/1304 ÷ 2 = 801/652

Step 3

Convert Improper Fraction to a Mixed Number

Because 801 is larger than 652, 801/652 can also be written as the mixed number 1 149/652.

801/652 = 1149/652

Visual Representation

The diagram below illustrates Simplify 1602/1304 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`801/652`
Mixed Number Form	`1 149/652`
Decimal Form	`1.228528`
Percentage	`122.8528%`

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Frequently Asked Questions

What is 1602/1304 in simplest form?

1602/1304 simplified to lowest terms is 801/652.

What is the GCD (GCF) of 1602 and 1304?

The Greatest Common Divisor (GCD) of 1602 and 1304 is 2.

What are equivalent fractions to 1602/1304?

Equivalent fractions to 1602/1304 include 1602/1304, 2403/1956, and 3204/2608.