What is 48/204 Simplified? (Reduce 48/204 to Lowest Terms: 4/17)

Exact Answer

48/204 = 4/17

Simplified Fraction

4/17

Mixed Number

Proper (4/17)

Decimal Value

0.235294

Percentage

23.5294%

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Step-by-Step Solution: 48/204 = 4/17

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD(48, 204) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (48) and denominator (204) by 12.

48 ÷ 12/204 ÷ 12 = 4/17

Visual Representation

The diagram below illustrates Simplify 48/204 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/17`
Mixed Number Form	`4/17`
Decimal Form	`0.235294`
Percentage	`23.5294%`

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Frequently Asked Questions

What is 48/204 in simplest form?

48/204 simplified to lowest terms is 4/17.

What is the GCD (GCF) of 48 and 204?

The Greatest Common Divisor (GCD) of 48 and 204 is 12.

What are equivalent fractions to 48/204?

Equivalent fractions to 48/204 include 8/34, 12/51, and 16/68.