What is 380/800 Simplified? (Reduce 380/800 to Lowest Terms: 19/40)

Exact Answer

380/800 = 19/40

Simplified Fraction

19/40

Mixed Number

Proper (19/40)

Decimal Value

0.475

Percentage

47.5%

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Step-by-Step Solution: 380/800 = 19/40

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 380: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
• Factors of 800: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200

GCD(380, 800) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (380) and denominator (800) by 20.

380 ÷ 20/800 ÷ 20 = 19/40

Visual Representation

The diagram below illustrates Simplify 380/800 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/40`
Mixed Number Form	`19/40`
Decimal Form	`0.475`
Percentage	`47.5%`

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Frequently Asked Questions

What is 380/800 in simplest form?

380/800 simplified to lowest terms is 19/40.

What is the GCD (GCF) of 380 and 800?

The Greatest Common Divisor (GCD) of 380 and 800 is 20.

What are equivalent fractions to 380/800?

Equivalent fractions to 380/800 include 38/80, 57/120, and 76/160.