What is 216/768 Simplified? (Reduce 216/768 to Lowest Terms: 9/32)

Exact Answer

216/768 = 9/32

Simplified Fraction

9/32

Mixed Number

Proper (9/32)

Decimal Value

0.28125

Percentage

28.125%

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Step-by-Step Solution: 216/768 = 9/32

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
• Factors of 768: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256

GCD(216, 768) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (216) and denominator (768) by 24.

216 ÷ 24/768 ÷ 24 = 9/32

Visual Representation

The diagram below illustrates Simplify 216/768 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/32`
Mixed Number Form	`9/32`
Decimal Form	`0.28125`
Percentage	`28.125%`

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Frequently Asked Questions

What is 216/768 in simplest form?

216/768 simplified to lowest terms is 9/32.

What is the GCD (GCF) of 216 and 768?

The Greatest Common Divisor (GCD) of 216 and 768 is 24.

What are equivalent fractions to 216/768?

Equivalent fractions to 216/768 include 18/64, 27/96, and 36/128.