What is 288/1302 Simplified? (Reduce 288/1302 to Lowest Terms: 48/217)

Exact Answer

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Problem: Simplify 288/1302 to Lowest Terms
Formula / Expression: 288/1302 = 48/217
Final Answer: 48/217
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
• Factors of 1302: 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302
Working: GCD(288, 1302) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (288) and denominator (1302) by 6.
Working: 288 ÷ 6/1302 ÷ 6 = 48/217

Key Values:
- Simplified Fraction: 48/217
- Mixed Number Form: 48/217
- Decimal Value: 0.221198
- Percentage: 22.1198%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-288-1302/
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288/1302 = 48/217

Simplified Fraction

48/217

Mixed Number

Proper (48/217)

Decimal Value

0.221198

Percentage

22.1198%

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Step-by-Step Solution: 288/1302 = 48/217

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
• Factors of 1302: 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302

GCD(288, 1302) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (288) and denominator (1302) by 6.

288 ÷ 6/1302 ÷ 6 = 48/217

Visual Representation

The diagram below illustrates Simplify 288/1302 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`48/217`
Mixed Number Form	`48/217`
Decimal Form	`0.221198`
Percentage	`22.1198%`

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Frequently Asked Questions

What is 288/1302 in simplest form?

288/1302 simplified to lowest terms is 48/217.

What is the GCD (GCF) of 288 and 1302?

The Greatest Common Divisor (GCD) of 288 and 1302 is 6.

What are equivalent fractions to 288/1302?

Equivalent fractions to 288/1302 include 96/434, 144/651, and 192/868.