What is 360/800 Simplified? (Reduce 360/800 to Lowest Terms: 9/20)

Exact Answer

360/800 = 9/20

Simplified Fraction

9/20

Mixed Number

Proper (9/20)

Decimal Value

0.45

Percentage

45%

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Step-by-Step Solution: 360/800 = 9/20

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36
• Factors of 800: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200

GCD(360, 800) = 40

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 40. Divide both the numerator (360) and denominator (800) by 40.

360 ÷ 40/800 ÷ 40 = 9/20

Visual Representation

The diagram below illustrates Simplify 360/800 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/20`
Mixed Number Form	`9/20`
Decimal Form	`0.45`
Percentage	`45%`

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Frequently Asked Questions

What is 360/800 in simplest form?

360/800 simplified to lowest terms is 9/20.

What is the GCD (GCF) of 360 and 800?

The Greatest Common Divisor (GCD) of 360 and 800 is 40.

What are equivalent fractions to 360/800?

Equivalent fractions to 360/800 include 18/40, 27/60, and 36/80.