What is 402/576 Simplified? (Reduce 402/576 to Lowest Terms: 67/96)

Exact Answer

402/576 = 67/96

Simplified Fraction

67/96

Mixed Number

Proper (67/96)

Decimal Value

0.697917

Percentage

69.7917%

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Step-by-Step Solution: 402/576 = 67/96

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 402: 1, 2, 3, 6, 67, 134, 201, 402
• Factors of 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(402, 576) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (402) and denominator (576) by 6.

402 ÷ 6/576 ÷ 6 = 67/96

Visual Representation

The diagram below illustrates Simplify 402/576 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`67/96`
Mixed Number Form	`67/96`
Decimal Form	`0.697917`
Percentage	`69.7917%`

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Frequently Asked Questions

What is 402/576 in simplest form?

402/576 simplified to lowest terms is 67/96.

What is the GCD (GCF) of 402 and 576?

The Greatest Common Divisor (GCD) of 402 and 576 is 6.

What are equivalent fractions to 402/576?

Equivalent fractions to 402/576 include 134/192, 201/288, and 268/384.