What is 546/364 Simplified? (Reduce 546/364 to Lowest Terms: 3/2)

Exact Answer

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Problem: Simplify 546/364 to Lowest Terms
Formula / Expression: 546/364 = 3/2
Final Answer: 1 1/2 (3/2)
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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 546: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
• Factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Working: GCD(546, 364) = 182

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 182. Divide both the numerator (546) and denominator (364) by 182.
Working: 546 ÷ 182/364 ÷ 182 = 3/2

Step 3: Convert Improper Fraction to a Mixed Number
Because 3 is larger than 2, 3/2 can also be written as the mixed number 1 1/2.
Working: 3/2 = 1 1/2

Key Values:
- Simplified Fraction: 3/2
- Mixed Number Form: 1 1/2
- Decimal Value: 1.5
- Percentage: 150%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-546-364/
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546/364 = 3/2

Simplified Fraction

3/2

Mixed Number

1 1/2

Decimal Value

1.5

Percentage

150%

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Step-by-Step Solution: 546/364 = 3/2

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 546: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
• Factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD(546, 364) = 182

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 182. Divide both the numerator (546) and denominator (364) by 182.

546 ÷ 182/364 ÷ 182 = 3/2

Step 3

Convert Improper Fraction to a Mixed Number

Because 3 is larger than 2, 3/2 can also be written as the mixed number 1 1/2.

3/2 = 11/2

Visual Representation

The diagram below illustrates Simplify 546/364 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/2`
Mixed Number Form	`1 1/2`
Decimal Form	`1.5`
Percentage	`150%`

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Frequently Asked Questions

What is 546/364 in simplest form?

546/364 simplified to lowest terms is 3/2.

What is the GCD (GCF) of 546 and 364?

The Greatest Common Divisor (GCD) of 546 and 364 is 182.

What are equivalent fractions to 546/364?

Equivalent fractions to 546/364 include 6/4, 9/6, and 12/8.