What is 1350/1180 Simplified? (Reduce 1350/1180 to Lowest Terms: 135/118)

Exact Answer

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Problem: Simplify 1350/1180 to Lowest Terms
Formula / Expression: 1350/1180 = 135/118
Final Answer: 1 17/118 (135/118)
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
• Factors of 1180: 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180
Working: GCD(1350, 1180) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1350) and denominator (1180) by 10.
Working: 1350 ÷ 10/1180 ÷ 10 = 135/118

Step 3: Convert Improper Fraction to a Mixed Number
Because 135 is larger than 118, 135/118 can also be written as the mixed number 1 17/118.
Working: 135/118 = 1 17/118

Key Values:
- Simplified Fraction: 135/118
- Mixed Number Form: 1 17/118
- Decimal Value: 1.144068
- Percentage: 114.4068%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1350-1180/
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1350/1180 = 135/118

Simplified Fraction

135/118

Mixed Number

1 17/118

Decimal Value

1.144068

Percentage

114.4068%

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Step-by-Step Solution: 1350/1180 = 135/118

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
• Factors of 1180: 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180

GCD(1350, 1180) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1350) and denominator (1180) by 10.

1350 ÷ 10/1180 ÷ 10 = 135/118

Step 3

Convert Improper Fraction to a Mixed Number

Because 135 is larger than 118, 135/118 can also be written as the mixed number 1 17/118.

135/118 = 117/118

Visual Representation

The diagram below illustrates Simplify 1350/1180 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`135/118`
Mixed Number Form	`1 17/118`
Decimal Form	`1.144068`
Percentage	`114.4068%`

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Frequently Asked Questions

What is 1350/1180 in simplest form?

1350/1180 simplified to lowest terms is 135/118.

What is the GCD (GCF) of 1350 and 1180?

The Greatest Common Divisor (GCD) of 1350 and 1180 is 10.

What are equivalent fractions to 1350/1180?

Equivalent fractions to 1350/1180 include 270/236, 405/354, and 540/472.