What is 1704/6804 Simplified? (Reduce 1704/6804 to Lowest Terms: 142/567)

Exact Answer

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Problem: Simplify 1704/6804 to Lowest Terms
Formula / Expression: 1704/6804 = 142/567
Final Answer: 142/567
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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 1704: 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704
• Factors of 6804: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54
Working: GCD(1704, 6804) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1704) and denominator (6804) by 12.
Working: 1704 ÷ 12/6804 ÷ 12 = 142/567

Key Values:
- Simplified Fraction: 142/567
- Mixed Number Form: 142/567
- Decimal Value: 0.250441
- Percentage: 25.0441%

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Solved with FractionsCalc:
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1704/6804 = 142/567

Simplified Fraction

142/567

Mixed Number

Proper (142/567)

Decimal Value

0.250441

Percentage

25.0441%

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Step-by-Step Solution: 1704/6804 = 142/567

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1704: 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704
• Factors of 6804: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54

GCD(1704, 6804) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1704) and denominator (6804) by 12.

1704 ÷ 12/6804 ÷ 12 = 142/567

Visual Representation

The diagram below illustrates Simplify 1704/6804 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`142/567`
Mixed Number Form	`142/567`
Decimal Form	`0.250441`
Percentage	`25.0441%`

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Frequently Asked Questions

What is 1704/6804 in simplest form?

1704/6804 simplified to lowest terms is 142/567.

What is the GCD (GCF) of 1704 and 6804?

The Greatest Common Divisor (GCD) of 1704 and 6804 is 12.

What are equivalent fractions to 1704/6804?

Equivalent fractions to 1704/6804 include 284/1134, 426/1701, and 568/2268.