What is 270/640 Simplified? (Reduce 270/640 to Lowest Terms: 27/64)

Exact Answer

270/640 = 27/64

Simplified Fraction

27/64

Mixed Number

Proper (27/64)

Decimal Value

0.421875

Percentage

42.1875%

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Step-by-Step Solution: 270/640 = 27/64

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
• Factors of 640: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

GCD(270, 640) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (270) and denominator (640) by 10.

270 ÷ 10/640 ÷ 10 = 27/64

Visual Representation

The diagram below illustrates Simplify 270/640 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`27/64`
Mixed Number Form	`27/64`
Decimal Form	`0.421875`
Percentage	`42.1875%`

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Frequently Asked Questions

What is 270/640 in simplest form?

270/640 simplified to lowest terms is 27/64.

What is the GCD (GCF) of 270 and 640?

The Greatest Common Divisor (GCD) of 270 and 640 is 10.

What are equivalent fractions to 270/640?

Equivalent fractions to 270/640 include 54/128, 81/192, and 108/256.