What is 2160/1420 Simplified? (Reduce 2160/1420 to Lowest Terms: 108/71)

Exact Answer

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Problem: Simplify 2160/1420 to Lowest Terms
Formula / Expression: 2160/1420 = 108/71
Final Answer: 1 37/71 (108/71)
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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 1420: 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
Working: GCD(2160, 1420) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (2160) and denominator (1420) by 20.
Working: 2160 ÷ 20/1420 ÷ 20 = 108/71

Step 3: Convert Improper Fraction to a Mixed Number
Because 108 is larger than 71, 108/71 can also be written as the mixed number 1 37/71.
Working: 108/71 = 1 37/71

Key Values:
- Simplified Fraction: 108/71
- Mixed Number Form: 1 37/71
- Decimal Value: 1.521127
- Percentage: 152.1127%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-2160-1420/
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2160/1420 = 108/71

Simplified Fraction

108/71

Mixed Number

1 37/71

Decimal Value

1.521127

Percentage

152.1127%

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Step-by-Step Solution: 2160/1420 = 108/71

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 1420: 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420

GCD(2160, 1420) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (2160) and denominator (1420) by 20.

2160 ÷ 20/1420 ÷ 20 = 108/71

Step 3

Convert Improper Fraction to a Mixed Number

Because 108 is larger than 71, 108/71 can also be written as the mixed number 1 37/71.

108/71 = 137/71

Visual Representation

The diagram below illustrates Simplify 2160/1420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`108/71`
Mixed Number Form	`1 37/71`
Decimal Form	`1.521127`
Percentage	`152.1127%`

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Frequently Asked Questions

What is 2160/1420 in simplest form?

2160/1420 simplified to lowest terms is 108/71.

What is the GCD (GCF) of 2160 and 1420?

The Greatest Common Divisor (GCD) of 2160 and 1420 is 20.

What are equivalent fractions to 2160/1420?

Equivalent fractions to 2160/1420 include 216/142, 324/213, and 432/284.