What is 420/1674 Simplified? (Reduce 420/1674 to Lowest Terms: 70/279)

Exact Answer

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Problem: Simplify 420/1674 to Lowest Terms
Formula / Expression: 420/1674 = 70/279
Final Answer: 70/279
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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 1674: 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
Working: GCD(420, 1674) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (420) and denominator (1674) by 6.
Working: 420 ÷ 6/1674 ÷ 6 = 70/279

Key Values:
- Simplified Fraction: 70/279
- Mixed Number Form: 70/279
- Decimal Value: 0.250896
- Percentage: 25.0896%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-420-1674/
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420/1674 = 70/279

Simplified Fraction

70/279

Mixed Number

Proper (70/279)

Decimal Value

0.250896

Percentage

25.0896%

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Step-by-Step Solution: 420/1674 = 70/279

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 1674: 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674

GCD(420, 1674) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (420) and denominator (1674) by 6.

420 ÷ 6/1674 ÷ 6 = 70/279

Visual Representation

The diagram below illustrates Simplify 420/1674 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`70/279`
Mixed Number Form	`70/279`
Decimal Form	`0.250896`
Percentage	`25.0896%`

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Frequently Asked Questions

What is 420/1674 in simplest form?

420/1674 simplified to lowest terms is 70/279.

What is the GCD (GCF) of 420 and 1674?

The Greatest Common Divisor (GCD) of 420 and 1674 is 6.

What are equivalent fractions to 420/1674?

Equivalent fractions to 420/1674 include 140/558, 210/837, and 280/1116.