What is 704/318 Simplified? (Reduce 704/318 to Lowest Terms: 352/159)

Exact Answer

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Problem: Simplify 704/318 to Lowest Terms
Formula / Expression: 704/318 = 352/159
Final Answer: 2 34/159 (352/159)
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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 318: 1, 2, 3, 6, 53, 106, 159, 318
Working: GCD(704, 318) = 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 (318) by 2.
Working: 704 ÷ 2/318 ÷ 2 = 352/159

Step 3: Convert Improper Fraction to a Mixed Number
Because 352 is larger than 159, 352/159 can also be written as the mixed number 2 34/159.
Working: 352/159 = 2 34/159

Key Values:
- Simplified Fraction: 352/159
- Mixed Number Form: 2 34/159
- Decimal Value: 2.213836
- Percentage: 221.3836%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-704-318/
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704/318 = 352/159

Simplified Fraction

352/159

Mixed Number

2 34/159

Decimal Value

2.213836

Percentage

221.3836%

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Step-by-Step Solution: 704/318 = 352/159

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 318: 1, 2, 3, 6, 53, 106, 159, 318

GCD(704, 318) = 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 (318) by 2.

704 ÷ 2/318 ÷ 2 = 352/159

Step 3

Convert Improper Fraction to a Mixed Number

Because 352 is larger than 159, 352/159 can also be written as the mixed number 2 34/159.

352/159 = 234/159

Visual Representation

The diagram below illustrates Simplify 704/318 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`352/159`
Mixed Number Form	`2 34/159`
Decimal Form	`2.213836`
Percentage	`221.3836%`

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Frequently Asked Questions

What is 704/318 in simplest form?

704/318 simplified to lowest terms is 352/159.

What is the GCD (GCF) of 704 and 318?

The Greatest Common Divisor (GCD) of 704 and 318 is 2.

What are equivalent fractions to 704/318?

Equivalent fractions to 704/318 include 704/318, 1056/477, and 1408/636.