What is 164/216 Simplified? (Reduce 164/216 to Lowest Terms: 41/54)

Exact Answer

164/216 = 41/54

Simplified Fraction

41/54

Mixed Number

Proper (41/54)

Decimal Value

0.759259

Percentage

75.9259%

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Step-by-Step Solution: 164/216 = 41/54

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 164: 1, 2, 4, 41, 82, 164
• Factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD(164, 216) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (164) and denominator (216) by 4.

164 ÷ 4/216 ÷ 4 = 41/54

Visual Representation

The diagram below illustrates Simplify 164/216 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`41/54`
Mixed Number Form	`41/54`
Decimal Form	`0.759259`
Percentage	`75.9259%`

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Frequently Asked Questions

What is 164/216 in simplest form?

164/216 simplified to lowest terms is 41/54.

What is the GCD (GCF) of 164 and 216?

The Greatest Common Divisor (GCD) of 164 and 216 is 4.

What are equivalent fractions to 164/216?

Equivalent fractions to 164/216 include 82/108, 123/162, and 164/216.