What is 704/1700 Simplified? (Reduce 704/1700 to Lowest Terms: 176/425)

Exact Answer

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Problem: Simplify 704/1700 to Lowest Terms
Formula / Expression: 704/1700 = 176/425
Final Answer: 176/425
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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 704: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
• Factors of 1700: 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425
Working: GCD(704, 1700) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (704) and denominator (1700) by 4.
Working: 704 ÷ 4/1700 ÷ 4 = 176/425

Key Values:
- Simplified Fraction: 176/425
- Mixed Number Form: 176/425
- Decimal Value: 0.414118
- Percentage: 41.4118%

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Solved with FractionsCalc:
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704/1700 = 176/425

Simplified Fraction

176/425

Mixed Number

Proper (176/425)

Decimal Value

0.414118

Percentage

41.4118%

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Step-by-Step Solution: 704/1700 = 176/425

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 704: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
• Factors of 1700: 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425

GCD(704, 1700) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (704) and denominator (1700) by 4.

704 ÷ 4/1700 ÷ 4 = 176/425

Visual Representation

The diagram below illustrates Simplify 704/1700 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`176/425`
Mixed Number Form	`176/425`
Decimal Form	`0.414118`
Percentage	`41.4118%`

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Frequently Asked Questions

What is 704/1700 in simplest form?

704/1700 simplified to lowest terms is 176/425.

What is the GCD (GCF) of 704 and 1700?

The Greatest Common Divisor (GCD) of 704 and 1700 is 4.

What are equivalent fractions to 704/1700?

Equivalent fractions to 704/1700 include 352/850, 528/1275, and 704/1700.