What is 546/588 Simplified? (Reduce 546/588 to Lowest Terms: 13/14)

Exact Answer

546/588 = 13/14

Simplified Fraction

13/14

Mixed Number

Proper (13/14)

Decimal Value

0.928571

Percentage

92.8571%

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Step-by-Step Solution: 546/588 = 13/14

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 588: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196

GCD(546, 588) = 42

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 42. Divide both the numerator (546) and denominator (588) by 42.

546 ÷ 42/588 ÷ 42 = 13/14

Visual Representation

The diagram below illustrates Simplify 546/588 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/14`
Mixed Number Form	`13/14`
Decimal Form	`0.928571`
Percentage	`92.8571%`

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Frequently Asked Questions

What is 546/588 in simplest form?

546/588 simplified to lowest terms is 13/14.

What is the GCD (GCF) of 546 and 588?

The Greatest Common Divisor (GCD) of 546 and 588 is 42.

What are equivalent fractions to 546/588?

Equivalent fractions to 546/588 include 26/28, 39/42, and 52/56.