What is 338/780 Simplified? (Reduce 338/780 to Lowest Terms: 13/30)

Exact Answer

338/780 = 13/30

Simplified Fraction

13/30

Mixed Number

Proper (13/30)

Decimal Value

0.433333

Percentage

43.3333%

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Step-by-Step Solution: 338/780 = 13/30

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 780: 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60

GCD(338, 780) = 26

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 26. Divide both the numerator (338) and denominator (780) by 26.

338 ÷ 26/780 ÷ 26 = 13/30

Visual Representation

The diagram below illustrates Simplify 338/780 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/30`
Mixed Number Form	`13/30`
Decimal Form	`0.433333`
Percentage	`43.3333%`

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Frequently Asked Questions

What is 338/780 in simplest form?

338/780 simplified to lowest terms is 13/30.

What is the GCD (GCF) of 338 and 780?

The Greatest Common Divisor (GCD) of 338 and 780 is 26.

What are equivalent fractions to 338/780?

Equivalent fractions to 338/780 include 26/60, 39/90, and 52/120.