What is 338/480 Simplified? (Reduce 338/480 to Lowest Terms: 169/240)

Exact Answer

338/480 = 169/240

Simplified Fraction

169/240

Mixed Number

Proper (169/240)

Decimal Value

0.704167

Percentage

70.4167%

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Step-by-Step Solution: 338/480 = 169/240

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 338: 1, 2, 13, 26, 169, 338
• Factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40

GCD(338, 480) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (338) and denominator (480) by 2.

338 ÷ 2/480 ÷ 2 = 169/240

Visual Representation

The diagram below illustrates Simplify 338/480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`169/240`
Mixed Number Form	`169/240`
Decimal Form	`0.704167`
Percentage	`70.4167%`

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Frequently Asked Questions

What is 338/480 in simplest form?

338/480 simplified to lowest terms is 169/240.

What is the GCD (GCF) of 338 and 480?

The Greatest Common Divisor (GCD) of 338 and 480 is 2.

What are equivalent fractions to 338/480?

Equivalent fractions to 338/480 include 338/480, 507/720, and 676/960.