What is 102/288 Simplified? (Reduce 102/288 to Lowest Terms: 17/48)

Exact Answer

102/288 = 17/48

Simplified Fraction

17/48

Mixed Number

Proper (17/48)

Decimal Value

0.354167

Percentage

35.4167%

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Step-by-Step Solution: 102/288 = 17/48

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 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96

GCD(102, 288) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (102) and denominator (288) by 6.

102 ÷ 6/288 ÷ 6 = 17/48

Visual Representation

The diagram below illustrates Simplify 102/288 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/48`
Mixed Number Form	`17/48`
Decimal Form	`0.354167`
Percentage	`35.4167%`

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Frequently Asked Questions

What is 102/288 in simplest form?

102/288 simplified to lowest terms is 17/48.

What is the GCD (GCF) of 102 and 288?

The Greatest Common Divisor (GCD) of 102 and 288 is 6.

What are equivalent fractions to 102/288?

Equivalent fractions to 102/288 include 34/96, 51/144, and 68/192.