What is 182/420 Simplified? (Reduce 182/420 to Lowest Terms: 13/30)

Exact Answer

182/420 = 13/30

Simplified Fraction

13/30

Mixed Number

Proper (13/30)

Decimal Value

0.433333

Percentage

43.3333%

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Step-by-Step Solution: 182/420 = 13/30

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 182: 1, 2, 7, 13, 14, 26, 91, 182
• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35

GCD(182, 420) = 14

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 14. Divide both the numerator (182) and denominator (420) by 14.

182 ÷ 14/420 ÷ 14 = 13/30

Visual Representation

The diagram below illustrates Simplify 182/420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/30`
Mixed Number Form	`13/30`
Decimal Form	`0.433333`
Percentage	`43.3333%`

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Frequently Asked Questions

What is 182/420 in simplest form?

182/420 simplified to lowest terms is 13/30.

What is the GCD (GCF) of 182 and 420?

The Greatest Common Divisor (GCD) of 182 and 420 is 14.

What are equivalent fractions to 182/420?

Equivalent fractions to 182/420 include 26/60, 39/90, and 52/120.