What is 308/688 Simplified? (Reduce 308/688 to Lowest Terms: 77/172)

Exact Answer

308/688 = 77/172

Simplified Fraction

77/172

Mixed Number

Proper (77/172)

Decimal Value

0.447674

Percentage

44.7674%

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Step-by-Step Solution: 308/688 = 77/172

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 308: 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
• Factors of 688: 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD(308, 688) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (308) and denominator (688) by 4.

308 ÷ 4/688 ÷ 4 = 77/172

Visual Representation

The diagram below illustrates Simplify 308/688 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`77/172`
Mixed Number Form	`77/172`
Decimal Form	`0.447674`
Percentage	`44.7674%`

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Frequently Asked Questions

What is 308/688 in simplest form?

308/688 simplified to lowest terms is 77/172.

What is the GCD (GCF) of 308 and 688?

The Greatest Common Divisor (GCD) of 308 and 688 is 4.

What are equivalent fractions to 308/688?

Equivalent fractions to 308/688 include 154/344, 231/516, and 308/688.