What is 84/144 Simplified? (Reduce 84/144 to Lowest Terms: 7/12)

Exact Answer

84/144 = 7/12

Simplified Fraction

7/12

Mixed Number

Proper (7/12)

Decimal Value

0.583333

Percentage

58.3333%

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Step-by-Step Solution: 84/144 = 7/12

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 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD(84, 144) = 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 (144) by 12.

84 ÷ 12/144 ÷ 12 = 7/12

Visual Representation

The diagram below illustrates Simplify 84/144 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/12`
Mixed Number Form	`7/12`
Decimal Form	`0.583333`
Percentage	`58.3333%`

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Frequently Asked Questions

What is 84/144 in simplest form?

84/144 simplified to lowest terms is 7/12.

What is the GCD (GCF) of 84 and 144?

The Greatest Common Divisor (GCD) of 84 and 144 is 12.

What are equivalent fractions to 84/144?

Equivalent fractions to 84/144 include 14/24, 21/36, and 28/48.