What is 420/1608 Simplified? (Reduce 420/1608 to Lowest Terms: 35/134)

Exact Answer

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Problem: Simplify 420/1608 to Lowest Terms
Formula / Expression: 420/1608 = 35/134
Final Answer: 35/134
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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 1608: 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
Working: GCD(420, 1608) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (420) and denominator (1608) by 12.
Working: 420 ÷ 12/1608 ÷ 12 = 35/134

Key Values:
- Simplified Fraction: 35/134
- Mixed Number Form: 35/134
- Decimal Value: 0.261194
- Percentage: 26.1194%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-420-1608/
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420/1608 = 35/134

Simplified Fraction

35/134

Mixed Number

Proper (35/134)

Decimal Value

0.261194

Percentage

26.1194%

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Step-by-Step Solution: 420/1608 = 35/134

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 1608: 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608

GCD(420, 1608) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (420) and denominator (1608) by 12.

420 ÷ 12/1608 ÷ 12 = 35/134

Visual Representation

The diagram below illustrates Simplify 420/1608 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`35/134`
Mixed Number Form	`35/134`
Decimal Form	`0.261194`
Percentage	`26.1194%`

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Frequently Asked Questions

What is 420/1608 in simplest form?

420/1608 simplified to lowest terms is 35/134.

What is the GCD (GCF) of 420 and 1608?

The Greatest Common Divisor (GCD) of 420 and 1608 is 12.

What are equivalent fractions to 420/1608?

Equivalent fractions to 420/1608 include 70/268, 105/402, and 140/536.