What is 512/364 Simplified? (Reduce 512/364 to Lowest Terms: 128/91)

Exact Answer

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Problem: Simplify 512/364 to Lowest Terms
Formula / Expression: 512/364 = 128/91
Final Answer: 1 37/91 (128/91)
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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 512: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
• Factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Working: GCD(512, 364) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (512) and denominator (364) by 4.
Working: 512 ÷ 4/364 ÷ 4 = 128/91

Step 3: Convert Improper Fraction to a Mixed Number
Because 128 is larger than 91, 128/91 can also be written as the mixed number 1 37/91.
Working: 128/91 = 1 37/91

Key Values:
- Simplified Fraction: 128/91
- Mixed Number Form: 1 37/91
- Decimal Value: 1.406593
- Percentage: 140.6593%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-512-364/
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512/364 = 128/91

Simplified Fraction

128/91

Mixed Number

1 37/91

Decimal Value

1.406593

Percentage

140.6593%

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Step-by-Step Solution: 512/364 = 128/91

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 512: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
• Factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD(512, 364) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (512) and denominator (364) by 4.

512 ÷ 4/364 ÷ 4 = 128/91

Step 3

Convert Improper Fraction to a Mixed Number

Because 128 is larger than 91, 128/91 can also be written as the mixed number 1 37/91.

128/91 = 137/91

Visual Representation

The diagram below illustrates Simplify 512/364 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`128/91`
Mixed Number Form	`1 37/91`
Decimal Form	`1.406593`
Percentage	`140.6593%`

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Frequently Asked Questions

What is 512/364 in simplest form?

512/364 simplified to lowest terms is 128/91.

What is the GCD (GCF) of 512 and 364?

The Greatest Common Divisor (GCD) of 512 and 364 is 4.

What are equivalent fractions to 512/364?

Equivalent fractions to 512/364 include 256/182, 384/273, and 512/364.