What is 1150/3680 Simplified? (Reduce 1150/3680 to Lowest Terms: 5/16)

Exact Answer

1150/3680 = 5/16

Simplified Fraction

5/16

Mixed Number

Proper (5/16)

Decimal Value

0.3125

Percentage

31.25%

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Step-by-Step Solution: 1150/3680 = 5/16

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1150: 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
• Factors of 3680: 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160

GCD(1150, 3680) = 230

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 230. Divide both the numerator (1150) and denominator (3680) by 230.

1150 ÷ 230/3680 ÷ 230 = 5/16

Visual Representation

The diagram below illustrates Simplify 1150/3680 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/16`
Mixed Number Form	`5/16`
Decimal Form	`0.3125`
Percentage	`31.25%`

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Frequently Asked Questions

What is 1150/3680 in simplest form?

1150/3680 simplified to lowest terms is 5/16.

What is the GCD (GCF) of 1150 and 3680?

The Greatest Common Divisor (GCD) of 1150 and 3680 is 230.

What are equivalent fractions to 1150/3680?

Equivalent fractions to 1150/3680 include 10/32, 15/48, and 20/64.