What is 1090/1180 Simplified? (Reduce 1090/1180 to Lowest Terms: 109/118)

Exact Answer

1090/1180 = 109/118

Simplified Fraction

109/118

Mixed Number

Proper (109/118)

Decimal Value

0.923729

Percentage

92.3729%

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Step-by-Step Solution: 1090/1180 = 109/118

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1090: 1, 2, 5, 10, 109, 218, 545, 1090
• Factors of 1180: 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180

GCD(1090, 1180) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1090) and denominator (1180) by 10.

1090 ÷ 10/1180 ÷ 10 = 109/118

Visual Representation

The diagram below illustrates Simplify 1090/1180 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`109/118`
Mixed Number Form	`109/118`
Decimal Form	`0.923729`
Percentage	`92.3729%`

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Frequently Asked Questions

What is 1090/1180 in simplest form?

1090/1180 simplified to lowest terms is 109/118.

What is the GCD (GCF) of 1090 and 1180?

The Greatest Common Divisor (GCD) of 1090 and 1180 is 10.

What are equivalent fractions to 1090/1180?

Equivalent fractions to 1090/1180 include 218/236, 327/354, and 436/472.