What is 334/304 Simplified? (Reduce 334/304 to Lowest Terms: 167/152)

Exact Answer

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Problem: Simplify 334/304 to Lowest Terms
Formula / Expression: 334/304 = 167/152
Final Answer: 1 15/152 (167/152)
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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 334: 1, 2, 167, 334
• Factors of 304: 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Working: GCD(334, 304) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (334) and denominator (304) by 2.
Working: 334 ÷ 2/304 ÷ 2 = 167/152

Step 3: Convert Improper Fraction to a Mixed Number
Because 167 is larger than 152, 167/152 can also be written as the mixed number 1 15/152.
Working: 167/152 = 1 15/152

Key Values:
- Simplified Fraction: 167/152
- Mixed Number Form: 1 15/152
- Decimal Value: 1.098684
- Percentage: 109.8684%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-334-304/
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334/304 = 167/152

Simplified Fraction

167/152

Mixed Number

1 15/152

Decimal Value

1.098684

Percentage

109.8684%

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Step-by-Step Solution: 334/304 = 167/152

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 334: 1, 2, 167, 334
• Factors of 304: 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD(334, 304) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (334) and denominator (304) by 2.

334 ÷ 2/304 ÷ 2 = 167/152

Step 3

Convert Improper Fraction to a Mixed Number

Because 167 is larger than 152, 167/152 can also be written as the mixed number 1 15/152.

167/152 = 115/152

Visual Representation

The diagram below illustrates Simplify 334/304 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`167/152`
Mixed Number Form	`1 15/152`
Decimal Form	`1.098684`
Percentage	`109.8684%`

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Frequently Asked Questions

What is 334/304 in simplest form?

334/304 simplified to lowest terms is 167/152.

What is the GCD (GCF) of 334 and 304?

The Greatest Common Divisor (GCD) of 334 and 304 is 2.

What are equivalent fractions to 334/304?

Equivalent fractions to 334/304 include 334/304, 501/456, and 668/608.