What is 312/438 Simplified? (Reduce 312/438 to Lowest Terms: 52/73)

Exact Answer

312/438 = 52/73

Simplified Fraction

52/73

Mixed Number

Proper (52/73)

Decimal Value

0.712329

Percentage

71.2329%

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Step-by-Step Solution: 312/438 = 52/73

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 312: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
• Factors of 438: 1, 2, 3, 6, 73, 146, 219, 438

GCD(312, 438) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (312) and denominator (438) by 6.

312 ÷ 6/438 ÷ 6 = 52/73

Visual Representation

The diagram below illustrates Simplify 312/438 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`52/73`
Mixed Number Form	`52/73`
Decimal Form	`0.712329`
Percentage	`71.2329%`

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Frequently Asked Questions

What is 312/438 in simplest form?

312/438 simplified to lowest terms is 52/73.

What is the GCD (GCF) of 312 and 438?

The Greatest Common Divisor (GCD) of 312 and 438 is 6.

What are equivalent fractions to 312/438?

Equivalent fractions to 312/438 include 104/146, 156/219, and 208/292.