What is 320/408 Simplified? (Reduce 320/408 to Lowest Terms: 40/51)

Exact Answer

320/408 = 40/51

Simplified Fraction

40/51

Mixed Number

Proper (40/51)

Decimal Value

0.784314

Percentage

78.4314%

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Step-by-Step Solution: 320/408 = 40/51

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
• Factors of 408: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD(320, 408) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (320) and denominator (408) by 8.

320 ÷ 8/408 ÷ 8 = 40/51

Visual Representation

The diagram below illustrates Simplify 320/408 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`40/51`
Mixed Number Form	`40/51`
Decimal Form	`0.784314`
Percentage	`78.4314%`

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Frequently Asked Questions

What is 320/408 in simplest form?

320/408 simplified to lowest terms is 40/51.

What is the GCD (GCF) of 320 and 408?

The Greatest Common Divisor (GCD) of 320 and 408 is 8.

What are equivalent fractions to 320/408?

Equivalent fractions to 320/408 include 80/102, 120/153, and 160/204.