What is 2160/1230 Simplified? (Reduce 2160/1230 to Lowest Terms: 72/41)

Exact Answer

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Problem: Simplify 2160/1230 to Lowest Terms
Formula / Expression: 2160/1230 = 72/41
Final Answer: 1 31/41 (72/41)
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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 2160: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27
• Factors of 1230: 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230
Working: GCD(2160, 1230) = 30

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (2160) and denominator (1230) by 30.
Working: 2160 ÷ 30/1230 ÷ 30 = 72/41

Step 3: Convert Improper Fraction to a Mixed Number
Because 72 is larger than 41, 72/41 can also be written as the mixed number 1 31/41.
Working: 72/41 = 1 31/41

Key Values:
- Simplified Fraction: 72/41
- Mixed Number Form: 1 31/41
- Decimal Value: 1.756098
- Percentage: 175.6098%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-2160-1230/
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2160/1230 = 72/41

Simplified Fraction

72/41

Mixed Number

1 31/41

Decimal Value

1.756098

Percentage

175.6098%

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Step-by-Step Solution: 2160/1230 = 72/41

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 2160: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27
• Factors of 1230: 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230

GCD(2160, 1230) = 30

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 30. Divide both the numerator (2160) and denominator (1230) by 30.

2160 ÷ 30/1230 ÷ 30 = 72/41

Step 3

Convert Improper Fraction to a Mixed Number

Because 72 is larger than 41, 72/41 can also be written as the mixed number 1 31/41.

72/41 = 131/41

Visual Representation

The diagram below illustrates Simplify 2160/1230 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`72/41`
Mixed Number Form	`1 31/41`
Decimal Form	`1.756098`
Percentage	`175.6098%`

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Frequently Asked Questions

What is 2160/1230 in simplest form?

2160/1230 simplified to lowest terms is 72/41.

What is the GCD (GCF) of 2160 and 1230?

The Greatest Common Divisor (GCD) of 2160 and 1230 is 30.

What are equivalent fractions to 2160/1230?

Equivalent fractions to 2160/1230 include 144/82, 216/123, and 288/164.