What is 164/480 Simplified? (Reduce 164/480 to Lowest Terms: 41/120)

Exact Answer

164/480 = 41/120

Simplified Fraction

41/120

Mixed Number

Proper (41/120)

Decimal Value

0.341667

Percentage

34.1667%

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Step-by-Step Solution: 164/480 = 41/120

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 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40

GCD(164, 480) = 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 (480) by 4.

164 ÷ 4/480 ÷ 4 = 41/120

Visual Representation

The diagram below illustrates Simplify 164/480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`41/120`
Mixed Number Form	`41/120`
Decimal Form	`0.341667`
Percentage	`34.1667%`

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Frequently Asked Questions

What is 164/480 in simplest form?

164/480 simplified to lowest terms is 41/120.

What is the GCD (GCF) of 164 and 480?

The Greatest Common Divisor (GCD) of 164 and 480 is 4.

What are equivalent fractions to 164/480?

Equivalent fractions to 164/480 include 82/240, 123/360, and 164/480.