What is 704/338 Simplified? (Reduce 704/338 to Lowest Terms: 352/169)

Exact Answer

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Problem: Simplify 704/338 to Lowest Terms
Formula / Expression: 704/338 = 352/169
Final Answer: 2 14/169 (352/169)
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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 338: 1, 2, 13, 26, 169, 338
Working: GCD(704, 338) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (704) and denominator (338) by 2.
Working: 704 ÷ 2/338 ÷ 2 = 352/169

Step 3: Convert Improper Fraction to a Mixed Number
Because 352 is larger than 169, 352/169 can also be written as the mixed number 2 14/169.
Working: 352/169 = 2 14/169

Key Values:
- Simplified Fraction: 352/169
- Mixed Number Form: 2 14/169
- Decimal Value: 2.08284
- Percentage: 208.284%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-704-338/
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704/338 = 352/169

Simplified Fraction

352/169

Mixed Number

2 14/169

Decimal Value

2.08284

Percentage

208.284%

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Step-by-Step Solution: 704/338 = 352/169

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 338: 1, 2, 13, 26, 169, 338

GCD(704, 338) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (704) and denominator (338) by 2.

704 ÷ 2/338 ÷ 2 = 352/169

Step 3

Convert Improper Fraction to a Mixed Number

Because 352 is larger than 169, 352/169 can also be written as the mixed number 2 14/169.

352/169 = 214/169

Visual Representation

The diagram below illustrates Simplify 704/338 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`352/169`
Mixed Number Form	`2 14/169`
Decimal Form	`2.08284`
Percentage	`208.284%`

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Frequently Asked Questions

What is 704/338 in simplest form?

704/338 simplified to lowest terms is 352/169.

What is the GCD (GCF) of 704 and 338?

The Greatest Common Divisor (GCD) of 704 and 338 is 2.

What are equivalent fractions to 704/338?

Equivalent fractions to 704/338 include 704/338, 1056/507, and 1408/676.