What is 165/360 Simplified? (Reduce 165/360 to Lowest Terms: 11/24)

Exact Answer

165/360 = 11/24

Simplified Fraction

11/24

Mixed Number

Proper (11/24)

Decimal Value

0.458333

Percentage

45.8333%

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Step-by-Step Solution: 165/360 = 11/24

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 165: 1, 3, 5, 11, 15, 33, 55, 165
• Factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36

GCD(165, 360) = 15

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 15. Divide both the numerator (165) and denominator (360) by 15.

165 ÷ 15/360 ÷ 15 = 11/24

Visual Representation

The diagram below illustrates Simplify 165/360 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/24`
Mixed Number Form	`11/24`
Decimal Form	`0.458333`
Percentage	`45.8333%`

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Frequently Asked Questions

What is 165/360 in simplest form?

165/360 simplified to lowest terms is 11/24.

What is the GCD (GCF) of 165 and 360?

The Greatest Common Divisor (GCD) of 165 and 360 is 15.

What are equivalent fractions to 165/360?

Equivalent fractions to 165/360 include 22/48, 33/72, and 44/96.