What is 704/1720 Simplified? (Reduce 704/1720 to Lowest Terms: 88/215)

Exact Answer

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Problem: Simplify 704/1720 to Lowest Terms
Formula / Expression: 704/1720 = 88/215
Final Answer: 88/215
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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 1720: 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720
Working: GCD(704, 1720) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (704) and denominator (1720) by 8.
Working: 704 ÷ 8/1720 ÷ 8 = 88/215

Key Values:
- Simplified Fraction: 88/215
- Mixed Number Form: 88/215
- Decimal Value: 0.409302
- Percentage: 40.9302%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-704-1720/
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704/1720 = 88/215

Simplified Fraction

88/215

Mixed Number

Proper (88/215)

Decimal Value

0.409302

Percentage

40.9302%

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Step-by-Step Solution: 704/1720 = 88/215

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 1720: 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720

GCD(704, 1720) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (704) and denominator (1720) by 8.

704 ÷ 8/1720 ÷ 8 = 88/215

Visual Representation

The diagram below illustrates Simplify 704/1720 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`88/215`
Mixed Number Form	`88/215`
Decimal Form	`0.409302`
Percentage	`40.9302%`

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Frequently Asked Questions

What is 704/1720 in simplest form?

704/1720 simplified to lowest terms is 88/215.

What is the GCD (GCF) of 704 and 1720?

The Greatest Common Divisor (GCD) of 704 and 1720 is 8.

What are equivalent fractions to 704/1720?

Equivalent fractions to 704/1720 include 176/430, 264/645, and 352/860.