What is 308/640 Simplified? (Reduce 308/640 to Lowest Terms: 77/160)

Exact Answer

308/640 = 77/160

Simplified Fraction

77/160

Mixed Number

Proper (77/160)

Decimal Value

0.48125

Percentage

48.125%

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Step-by-Step Solution: 308/640 = 77/160

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 640: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

GCD(308, 640) = 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 (640) by 4.

308 ÷ 4/640 ÷ 4 = 77/160

Visual Representation

The diagram below illustrates Simplify 308/640 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`77/160`
Mixed Number Form	`77/160`
Decimal Form	`0.48125`
Percentage	`48.125%`

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Frequently Asked Questions

What is 308/640 in simplest form?

308/640 simplified to lowest terms is 77/160.

What is the GCD (GCF) of 308 and 640?

The Greatest Common Divisor (GCD) of 308 and 640 is 4.

What are equivalent fractions to 308/640?

Equivalent fractions to 308/640 include 154/320, 231/480, and 308/640.