What is 480/828 Simplified? (Reduce 480/828 to Lowest Terms: 40/69)

Exact Answer

480/828 = 40/69

Simplified Fraction

40/69

Mixed Number

Proper (40/69)

Decimal Value

0.57971

Percentage

57.971%

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Step-by-Step Solution: 480/828 = 40/69

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 828: 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276

GCD(480, 828) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (480) and denominator (828) by 12.

480 ÷ 12/828 ÷ 12 = 40/69

Visual Representation

The diagram below illustrates Simplify 480/828 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`40/69`
Mixed Number Form	`40/69`
Decimal Form	`0.57971`
Percentage	`57.971%`

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Frequently Asked Questions

What is 480/828 in simplest form?

480/828 simplified to lowest terms is 40/69.

What is the GCD (GCF) of 480 and 828?

The Greatest Common Divisor (GCD) of 480 and 828 is 12.

What are equivalent fractions to 480/828?

Equivalent fractions to 480/828 include 80/138, 120/207, and 160/276.