What is 84/216 Simplified? (Reduce 84/216 to Lowest Terms: 7/18)

Exact Answer

84/216 = 7/18

Simplified Fraction

7/18

Mixed Number

Proper (7/18)

Decimal Value

0.388889

Percentage

38.8889%

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Step-by-Step Solution: 84/216 = 7/18

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD(84, 216) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (84) and denominator (216) by 12.

84 ÷ 12/216 ÷ 12 = 7/18

Visual Representation

The diagram below illustrates Simplify 84/216 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/18`
Mixed Number Form	`7/18`
Decimal Form	`0.388889`
Percentage	`38.8889%`

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Frequently Asked Questions

What is 84/216 in simplest form?

84/216 simplified to lowest terms is 7/18.

What is the GCD (GCF) of 84 and 216?

The Greatest Common Divisor (GCD) of 84 and 216 is 12.

What are equivalent fractions to 84/216?

Equivalent fractions to 84/216 include 14/36, 21/54, and 28/72.