What is 462/1584 Simplified? (Reduce 462/1584 to Lowest Terms: 7/24)

Exact Answer

462/1584 = 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: 462/1584 = 7/24

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 462: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
• Factors of 1584: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44

GCD(462, 1584) = 66

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 66. Divide both the numerator (462) and denominator (1584) by 66.

462 ÷ 66/1584 ÷ 66 = 7/24

Visual Representation

The diagram below illustrates Simplify 462/1584 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 462/1584 in simplest form?

462/1584 simplified to lowest terms is 7/24.

What is the GCD (GCF) of 462 and 1584?

The Greatest Common Divisor (GCD) of 462 and 1584 is 66.

What are equivalent fractions to 462/1584?

Equivalent fractions to 462/1584 include 14/48, 21/72, and 28/96.