What is 84/288 Simplified? (Reduce 84/288 to Lowest Terms: 7/24)

Exact Answer

84/288 = 7/24

Simplified Fraction

7/24

Mixed Number

Proper (7/24)

Decimal Value

0.291667

Percentage

29.1667%

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Step-by-Step Solution: 84/288 = 7/24

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 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96

GCD(84, 288) = 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 (288) by 12.

84 ÷ 12/288 ÷ 12 = 7/24

Visual Representation

The diagram below illustrates Simplify 84/288 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/24`
Mixed Number Form	`7/24`
Decimal Form	`0.291667`
Percentage	`29.1667%`

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Frequently Asked Questions

What is 84/288 in simplest form?

84/288 simplified to lowest terms is 7/24.

What is the GCD (GCF) of 84 and 288?

The Greatest Common Divisor (GCD) of 84 and 288 is 12.

What are equivalent fractions to 84/288?

Equivalent fractions to 84/288 include 14/48, 21/72, and 28/96.