What is 270/576 Simplified? (Reduce 270/576 to Lowest Terms: 15/32)

Exact Answer

270/576 = 15/32

Simplified Fraction

15/32

Mixed Number

Proper (15/32)

Decimal Value

0.46875

Percentage

46.875%

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Step-by-Step Solution: 270/576 = 15/32

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 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(270, 576) = 18

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 18. Divide both the numerator (270) and denominator (576) by 18.

270 ÷ 18/576 ÷ 18 = 15/32

Visual Representation

The diagram below illustrates Simplify 270/576 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`15/32`
Mixed Number Form	`15/32`
Decimal Form	`0.46875`
Percentage	`46.875%`

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Frequently Asked Questions

What is 270/576 in simplest form?

270/576 simplified to lowest terms is 15/32.

What is the GCD (GCF) of 270 and 576?

The Greatest Common Divisor (GCD) of 270 and 576 is 18.

What are equivalent fractions to 270/576?

Equivalent fractions to 270/576 include 30/64, 45/96, and 60/128.