What is 480/824 Simplified? (Reduce 480/824 to Lowest Terms: 60/103)

Exact Answer

480/824 = 60/103

Simplified Fraction

60/103

Mixed Number

Proper (60/103)

Decimal Value

0.582524

Percentage

58.2524%

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Step-by-Step Solution: 480/824 = 60/103

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
• Factors of 824: 1, 2, 4, 8, 103, 206, 412, 824

GCD(480, 824) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (480) and denominator (824) by 8.

480 ÷ 8/824 ÷ 8 = 60/103

Visual Representation

The diagram below illustrates Simplify 480/824 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`60/103`
Mixed Number Form	`60/103`
Decimal Form	`0.582524`
Percentage	`58.2524%`

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Frequently Asked Questions

What is 480/824 in simplest form?

480/824 simplified to lowest terms is 60/103.

What is the GCD (GCF) of 480 and 824?

The Greatest Common Divisor (GCD) of 480 and 824 is 8.

What are equivalent fractions to 480/824?

Equivalent fractions to 480/824 include 120/206, 180/309, and 240/412.