What is 120/404 Simplified? (Reduce 120/404 to Lowest Terms: 30/101)

Exact Answer

120/404 = 30/101

Simplified Fraction

30/101

Mixed Number

Proper (30/101)

Decimal Value

0.29703

Percentage

29.703%

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Step-by-Step Solution: 120/404 = 30/101

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 404: 1, 2, 4, 101, 202, 404

GCD(120, 404) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (120) and denominator (404) by 4.

120 ÷ 4/404 ÷ 4 = 30/101

Visual Representation

The diagram below illustrates Simplify 120/404 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`30/101`
Mixed Number Form	`30/101`
Decimal Form	`0.29703`
Percentage	`29.703%`

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Frequently Asked Questions

What is 120/404 in simplest form?

120/404 simplified to lowest terms is 30/101.

What is the GCD (GCF) of 120 and 404?

The Greatest Common Divisor (GCD) of 120 and 404 is 4.

What are equivalent fractions to 120/404?

Equivalent fractions to 120/404 include 60/202, 90/303, and 120/404.