What is 338/300 Simplified? (Reduce 338/300 to Lowest Terms: 169/150)

Exact Answer

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Problem: Simplify 338/300 to Lowest Terms
Formula / Expression: 338/300 = 169/150
Final Answer: 1 19/150 (169/150)
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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 338: 1, 2, 13, 26, 169, 338
• Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
Working: GCD(338, 300) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (338) and denominator (300) by 2.
Working: 338 ÷ 2/300 ÷ 2 = 169/150

Step 3: Convert Improper Fraction to a Mixed Number
Because 169 is larger than 150, 169/150 can also be written as the mixed number 1 19/150.
Working: 169/150 = 1 19/150

Key Values:
- Simplified Fraction: 169/150
- Mixed Number Form: 1 19/150
- Decimal Value: 1.126667
- Percentage: 112.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-338-300/
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338/300 = 169/150

Simplified Fraction

169/150

Mixed Number

1 19/150

Decimal Value

1.126667

Percentage

112.6667%

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Step-by-Step Solution: 338/300 = 169/150

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 338: 1, 2, 13, 26, 169, 338
• Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100

GCD(338, 300) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (338) and denominator (300) by 2.

338 ÷ 2/300 ÷ 2 = 169/150

Step 3

Convert Improper Fraction to a Mixed Number

Because 169 is larger than 150, 169/150 can also be written as the mixed number 1 19/150.

169/150 = 119/150

Visual Representation

The diagram below illustrates Simplify 338/300 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`169/150`
Mixed Number Form	`1 19/150`
Decimal Form	`1.126667`
Percentage	`112.6667%`

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Frequently Asked Questions

What is 338/300 in simplest form?

338/300 simplified to lowest terms is 169/150.

What is the GCD (GCF) of 338 and 300?

The Greatest Common Divisor (GCD) of 338 and 300 is 2.

What are equivalent fractions to 338/300?

Equivalent fractions to 338/300 include 338/300, 507/450, and 676/600.