What is 360/740 Simplified? (Reduce 360/740 to Lowest Terms: 18/37)

Exact Answer

360/740 = 18/37

Simplified Fraction

18/37

Mixed Number

Proper (18/37)

Decimal Value

0.486486

Percentage

48.6486%

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Step-by-Step Solution: 360/740 = 18/37

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 740: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD(360, 740) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (360) and denominator (740) by 20.

360 ÷ 20/740 ÷ 20 = 18/37

Visual Representation

The diagram below illustrates Simplify 360/740 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`18/37`
Mixed Number Form	`18/37`
Decimal Form	`0.486486`
Percentage	`48.6486%`

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Frequently Asked Questions

What is 360/740 in simplest form?

360/740 simplified to lowest terms is 18/37.

What is the GCD (GCF) of 360 and 740?

The Greatest Common Divisor (GCD) of 360 and 740 is 20.

What are equivalent fractions to 360/740?

Equivalent fractions to 360/740 include 36/74, 54/111, and 72/148.