What is 1200/1602 Simplified? (Reduce 1200/1602 to Lowest Terms: 200/267)

Exact Answer

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Problem: Simplify 1200/1602 to Lowest Terms
Formula / Expression: 1200/1602 = 200/267
Final Answer: 200/267
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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 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 1602: 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602
Working: GCD(1200, 1602) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (1200) and denominator (1602) by 6.
Working: 1200 ÷ 6/1602 ÷ 6 = 200/267

Key Values:
- Simplified Fraction: 200/267
- Mixed Number Form: 200/267
- Decimal Value: 0.749064
- Percentage: 74.9064%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1200-1602/
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1200/1602 = 200/267

Simplified Fraction

200/267

Mixed Number

Proper (200/267)

Decimal Value

0.749064

Percentage

74.9064%

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Step-by-Step Solution: 1200/1602 = 200/267

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 1602: 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602

GCD(1200, 1602) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (1200) and denominator (1602) by 6.

1200 ÷ 6/1602 ÷ 6 = 200/267

Visual Representation

The diagram below illustrates Simplify 1200/1602 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`200/267`
Mixed Number Form	`200/267`
Decimal Form	`0.749064`
Percentage	`74.9064%`

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Frequently Asked Questions

What is 1200/1602 in simplest form?

1200/1602 simplified to lowest terms is 200/267.

What is the GCD (GCF) of 1200 and 1602?

The Greatest Common Divisor (GCD) of 1200 and 1602 is 6.

What are equivalent fractions to 1200/1602?

Equivalent fractions to 1200/1602 include 400/534, 600/801, and 800/1068.