What is 192/312 Simplified? (Reduce 192/312 to Lowest Terms: 8/13)

Exact Answer

192/312 = 8/13

Simplified Fraction

8/13

Mixed Number

Proper (8/13)

Decimal Value

0.615385

Percentage

61.5385%

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Step-by-Step Solution: 192/312 = 8/13

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 192: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
• Factors of 312: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD(192, 312) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (192) and denominator (312) by 24.

192 ÷ 24/312 ÷ 24 = 8/13

Visual Representation

The diagram below illustrates Simplify 192/312 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/13`
Mixed Number Form	`8/13`
Decimal Form	`0.615385`
Percentage	`61.5385%`

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Frequently Asked Questions

What is 192/312 in simplest form?

192/312 simplified to lowest terms is 8/13.

What is the GCD (GCF) of 192 and 312?

The Greatest Common Divisor (GCD) of 192 and 312 is 24.

What are equivalent fractions to 192/312?

Equivalent fractions to 192/312 include 16/26, 24/39, and 32/52.