What is 320/268 Simplified? (Reduce 320/268 to Lowest Terms: 80/67)

Exact Answer

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Problem: Simplify 320/268 to Lowest Terms
Formula / Expression: 320/268 = 80/67
Final Answer: 1 13/67 (80/67)
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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 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
• Factors of 268: 1, 2, 4, 67, 134, 268
Working: GCD(320, 268) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (320) and denominator (268) by 4.
Working: 320 ÷ 4/268 ÷ 4 = 80/67

Step 3: Convert Improper Fraction to a Mixed Number
Because 80 is larger than 67, 80/67 can also be written as the mixed number 1 13/67.
Working: 80/67 = 1 13/67

Key Values:
- Simplified Fraction: 80/67
- Mixed Number Form: 1 13/67
- Decimal Value: 1.19403
- Percentage: 119.403%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-320-268/
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320/268 = 80/67

Simplified Fraction

80/67

Mixed Number

1 13/67

Decimal Value

1.19403

Percentage

119.403%

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Step-by-Step Solution: 320/268 = 80/67

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
• Factors of 268: 1, 2, 4, 67, 134, 268

GCD(320, 268) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (320) and denominator (268) by 4.

320 ÷ 4/268 ÷ 4 = 80/67

Step 3

Convert Improper Fraction to a Mixed Number

Because 80 is larger than 67, 80/67 can also be written as the mixed number 1 13/67.

80/67 = 113/67

Visual Representation

The diagram below illustrates Simplify 320/268 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`80/67`
Mixed Number Form	`1 13/67`
Decimal Form	`1.19403`
Percentage	`119.403%`

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Frequently Asked Questions

What is 320/268 in simplest form?

320/268 simplified to lowest terms is 80/67.

What is the GCD (GCF) of 320 and 268?

The Greatest Common Divisor (GCD) of 320 and 268 is 4.

What are equivalent fractions to 320/268?

Equivalent fractions to 320/268 include 160/134, 240/201, and 320/268.