What is 306/304 Simplified? (Reduce 306/304 to Lowest Terms: 153/152)

Exact Answer

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Problem: Simplify 306/304 to Lowest Terms
Formula / Expression: 306/304 = 153/152
Final Answer: 1 1/152 (153/152)
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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 306: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
• Factors of 304: 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Working: GCD(306, 304) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (306) and denominator (304) by 2.
Working: 306 ÷ 2/304 ÷ 2 = 153/152

Step 3: Convert Improper Fraction to a Mixed Number
Because 153 is larger than 152, 153/152 can also be written as the mixed number 1 1/152.
Working: 153/152 = 1 1/152

Key Values:
- Simplified Fraction: 153/152
- Mixed Number Form: 1 1/152
- Decimal Value: 1.006579
- Percentage: 100.6579%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-306-304/
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306/304 = 153/152

Simplified Fraction

153/152

Mixed Number

1 1/152

Decimal Value

1.006579

Percentage

100.6579%

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Step-by-Step Solution: 306/304 = 153/152

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 306: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
• Factors of 304: 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD(306, 304) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (306) and denominator (304) by 2.

306 ÷ 2/304 ÷ 2 = 153/152

Step 3

Convert Improper Fraction to a Mixed Number

Because 153 is larger than 152, 153/152 can also be written as the mixed number 1 1/152.

153/152 = 11/152

Visual Representation

The diagram below illustrates Simplify 306/304 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`153/152`
Mixed Number Form	`1 1/152`
Decimal Form	`1.006579`
Percentage	`100.6579%`

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Frequently Asked Questions

What is 306/304 in simplest form?

306/304 simplified to lowest terms is 153/152.

What is the GCD (GCF) of 306 and 304?

The Greatest Common Divisor (GCD) of 306 and 304 is 2.

What are equivalent fractions to 306/304?

Equivalent fractions to 306/304 include 306/304, 459/456, and 612/608.