What is 102/408 Simplified? (Reduce 102/408 to Lowest Terms: 1/4)

Exact Answer

102/408 = 1/4

Simplified Fraction

1/4

Mixed Number

Proper (1/4)

Decimal Value

0.25

Percentage

25%

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Step-by-Step Solution: 102/408 = 1/4

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 102: 1, 2, 3, 6, 17, 34, 51, 102
• Factors of 408: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD(102, 408) = 102

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 102. Divide both the numerator (102) and denominator (408) by 102.

102 ÷ 102/408 ÷ 102 = 1/4

Visual Representation

The diagram below illustrates Simplify 102/408 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1/4`
Mixed Number Form	`1/4`
Decimal Form	`0.25`
Percentage	`25%`

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Frequently Asked Questions

What is 102/408 in simplest form?

102/408 simplified to lowest terms is 1/4.

What is the GCD (GCF) of 102 and 408?

The Greatest Common Divisor (GCD) of 102 and 408 is 102.

What are equivalent fractions to 102/408?

Equivalent fractions to 102/408 include 2/8, 3/12, and 4/16.