What is 320/164 Simplified? (Reduce 320/164 to Lowest Terms: 80/41)

Exact Answer

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Problem: Simplify 320/164 to Lowest Terms
Formula / Expression: 320/164 = 80/41
Final Answer: 1 39/41 (80/41)
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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 164: 1, 2, 4, 41, 82, 164
Working: GCD(320, 164) = 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 (164) by 4.
Working: 320 ÷ 4/164 ÷ 4 = 80/41

Step 3: Convert Improper Fraction to a Mixed Number
Because 80 is larger than 41, 80/41 can also be written as the mixed number 1 39/41.
Working: 80/41 = 1 39/41

Key Values:
- Simplified Fraction: 80/41
- Mixed Number Form: 1 39/41
- Decimal Value: 1.95122
- Percentage: 195.122%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-320-164/
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320/164 = 80/41

Simplified Fraction

80/41

Mixed Number

1 39/41

Decimal Value

1.95122

Percentage

195.122%

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Step-by-Step Solution: 320/164 = 80/41

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 164: 1, 2, 4, 41, 82, 164

GCD(320, 164) = 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 (164) by 4.

320 ÷ 4/164 ÷ 4 = 80/41

Step 3

Convert Improper Fraction to a Mixed Number

Because 80 is larger than 41, 80/41 can also be written as the mixed number 1 39/41.

80/41 = 139/41

Visual Representation

The diagram below illustrates Simplify 320/164 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`80/41`
Mixed Number Form	`1 39/41`
Decimal Form	`1.95122`
Percentage	`195.122%`

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Frequently Asked Questions

What is 320/164 in simplest form?

320/164 simplified to lowest terms is 80/41.

What is the GCD (GCF) of 320 and 164?

The Greatest Common Divisor (GCD) of 320 and 164 is 4.

What are equivalent fractions to 320/164?

Equivalent fractions to 320/164 include 160/82, 240/123, and 320/164.