What is 120/418 Simplified? (Reduce 120/418 to Lowest Terms: 60/209)

Exact Answer

120/418 = 60/209

Simplified Fraction

60/209

Mixed Number

Proper (60/209)

Decimal Value

0.287081

Percentage

28.7081%

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Step-by-Step Solution: 120/418 = 60/209

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
• Factors of 418: 1, 2, 11, 19, 22, 38, 209, 418

GCD(120, 418) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (120) and denominator (418) by 2.

120 ÷ 2/418 ÷ 2 = 60/209

Visual Representation

The diagram below illustrates Simplify 120/418 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`60/209`
Mixed Number Form	`60/209`
Decimal Form	`0.287081`
Percentage	`28.7081%`

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Frequently Asked Questions

What is 120/418 in simplest form?

120/418 simplified to lowest terms is 60/209.

What is the GCD (GCF) of 120 and 418?

The Greatest Common Divisor (GCD) of 120 and 418 is 2.

What are equivalent fractions to 120/418?

Equivalent fractions to 120/418 include 120/418, 180/627, and 240/836.