What is 420/1160 Simplified? (Reduce 420/1160 to Lowest Terms: 21/58)

Exact Answer

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Problem: Simplify 420/1160 to Lowest Terms
Formula / Expression: 420/1160 = 21/58
Final Answer: 21/58
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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 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
• Factors of 1160: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160
Working: GCD(420, 1160) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (420) and denominator (1160) by 20.
Working: 420 ÷ 20/1160 ÷ 20 = 21/58

Key Values:
- Simplified Fraction: 21/58
- Mixed Number Form: 21/58
- Decimal Value: 0.362069
- Percentage: 36.2069%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-420-1160/
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420/1160 = 21/58

Simplified Fraction

21/58

Mixed Number

Proper (21/58)

Decimal Value

0.362069

Percentage

36.2069%

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Step-by-Step Solution: 420/1160 = 21/58

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
• Factors of 1160: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160

GCD(420, 1160) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (420) and denominator (1160) by 20.

420 ÷ 20/1160 ÷ 20 = 21/58

Visual Representation

The diagram below illustrates Simplify 420/1160 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`21/58`
Mixed Number Form	`21/58`
Decimal Form	`0.362069`
Percentage	`36.2069%`

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Frequently Asked Questions

What is 420/1160 in simplest form?

420/1160 simplified to lowest terms is 21/58.

What is the GCD (GCF) of 420 and 1160?

The Greatest Common Divisor (GCD) of 420 and 1160 is 20.

What are equivalent fractions to 420/1160?

Equivalent fractions to 420/1160 include 42/116, 63/174, and 84/232.