What is 464/380 Simplified? (Reduce 464/380 to Lowest Terms: 116/95)

Exact Answer

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Problem: Simplify 464/380 to Lowest Terms
Formula / Expression: 464/380 = 116/95
Final Answer: 1 21/95 (116/95)
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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 464: 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
• Factors of 380: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Working: GCD(464, 380) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (464) and denominator (380) by 4.
Working: 464 ÷ 4/380 ÷ 4 = 116/95

Step 3: Convert Improper Fraction to a Mixed Number
Because 116 is larger than 95, 116/95 can also be written as the mixed number 1 21/95.
Working: 116/95 = 1 21/95

Key Values:
- Simplified Fraction: 116/95
- Mixed Number Form: 1 21/95
- Decimal Value: 1.221053
- Percentage: 122.1053%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-464-380/
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464/380 = 116/95

Simplified Fraction

116/95

Mixed Number

1 21/95

Decimal Value

1.221053

Percentage

122.1053%

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Step-by-Step Solution: 464/380 = 116/95

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 464: 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
• Factors of 380: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD(464, 380) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (464) and denominator (380) by 4.

464 ÷ 4/380 ÷ 4 = 116/95

Step 3

Convert Improper Fraction to a Mixed Number

Because 116 is larger than 95, 116/95 can also be written as the mixed number 1 21/95.

116/95 = 121/95

Visual Representation

The diagram below illustrates Simplify 464/380 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`116/95`
Mixed Number Form	`1 21/95`
Decimal Form	`1.221053`
Percentage	`122.1053%`

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Frequently Asked Questions

What is 464/380 in simplest form?

464/380 simplified to lowest terms is 116/95.

What is the GCD (GCF) of 464 and 380?

The Greatest Common Divisor (GCD) of 464 and 380 is 4.

What are equivalent fractions to 464/380?

Equivalent fractions to 464/380 include 232/190, 348/285, and 464/380.