What is 600/598 Simplified? (Reduce 600/598 to Lowest Terms: 300/299)

Exact Answer

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Problem: Simplify 600/598 to Lowest Terms
Formula / Expression: 600/598 = 300/299
Final Answer: 1 1/299 (300/299)
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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 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50
• Factors of 598: 1, 2, 13, 23, 26, 46, 299, 598
Working: GCD(600, 598) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (600) and denominator (598) by 2.
Working: 600 ÷ 2/598 ÷ 2 = 300/299

Step 3: Convert Improper Fraction to a Mixed Number
Because 300 is larger than 299, 300/299 can also be written as the mixed number 1 1/299.
Working: 300/299 = 1 1/299

Key Values:
- Simplified Fraction: 300/299
- Mixed Number Form: 1 1/299
- Decimal Value: 1.003344
- Percentage: 100.3344%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-600-598/
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600/598 = 300/299

Simplified Fraction

300/299

Mixed Number

1 1/299

Decimal Value

1.003344

Percentage

100.3344%

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Step-by-Step Solution: 600/598 = 300/299

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50
• Factors of 598: 1, 2, 13, 23, 26, 46, 299, 598

GCD(600, 598) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (600) and denominator (598) by 2.

600 ÷ 2/598 ÷ 2 = 300/299

Step 3

Convert Improper Fraction to a Mixed Number

Because 300 is larger than 299, 300/299 can also be written as the mixed number 1 1/299.

300/299 = 11/299

Visual Representation

The diagram below illustrates Simplify 600/598 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`300/299`
Mixed Number Form	`1 1/299`
Decimal Form	`1.003344`
Percentage	`100.3344%`

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Frequently Asked Questions

What is 600/598 in simplest form?

600/598 simplified to lowest terms is 300/299.

What is the GCD (GCF) of 600 and 598?

The Greatest Common Divisor (GCD) of 600 and 598 is 2.

What are equivalent fractions to 600/598?

Equivalent fractions to 600/598 include 600/598, 900/897, and 1200/1196.