What is 3204/7200 Simplified? (Reduce 3204/7200 to Lowest Terms: 89/200)

Exact Answer

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Problem: Simplify 3204/7200 to Lowest Terms
Formula / Expression: 3204/7200 = 89/200
Final Answer: 89/200
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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 3204: 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068
• Factors of 7200: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25
Working: GCD(3204, 7200) = 36

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 36. Divide both the numerator (3204) and denominator (7200) by 36.
Working: 3204 ÷ 36/7200 ÷ 36 = 89/200

Key Values:
- Simplified Fraction: 89/200
- Mixed Number Form: 89/200
- Decimal Value: 0.445
- Percentage: 44.5%

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Solved with FractionsCalc:
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3204/7200 = 89/200

Simplified Fraction

89/200

Mixed Number

Proper (89/200)

Decimal Value

0.445

Percentage

44.5%

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Step-by-Step Solution: 3204/7200 = 89/200

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 3204: 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068
• Factors of 7200: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25

GCD(3204, 7200) = 36

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 36. Divide both the numerator (3204) and denominator (7200) by 36.

3204 ÷ 36/7200 ÷ 36 = 89/200

Visual Representation

The diagram below illustrates Simplify 3204/7200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`89/200`
Mixed Number Form	`89/200`
Decimal Form	`0.445`
Percentage	`44.5%`

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Frequently Asked Questions

What is 3204/7200 in simplest form?

3204/7200 simplified to lowest terms is 89/200.

What is the GCD (GCF) of 3204 and 7200?

The Greatest Common Divisor (GCD) of 3204 and 7200 is 36.

What are equivalent fractions to 3204/7200?

Equivalent fractions to 3204/7200 include 178/400, 267/600, and 356/800.