What is 288/274 Simplified? (Reduce 288/274 to Lowest Terms: 144/137)

Exact Answer

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Problem: Simplify 288/274 to Lowest Terms
Formula / Expression: 288/274 = 144/137
Final Answer: 1 7/137 (144/137)
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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 274: 1, 2, 137, 274
Working: GCD(288, 274) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (288) and denominator (274) by 2.
Working: 288 ÷ 2/274 ÷ 2 = 144/137

Step 3: Convert Improper Fraction to a Mixed Number
Because 144 is larger than 137, 144/137 can also be written as the mixed number 1 7/137.
Working: 144/137 = 1 7/137

Key Values:
- Simplified Fraction: 144/137
- Mixed Number Form: 1 7/137
- Decimal Value: 1.051095
- Percentage: 105.1095%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-288-274/
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288/274 = 144/137

Simplified Fraction

144/137

Mixed Number

1 7/137

Decimal Value

1.051095

Percentage

105.1095%

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Step-by-Step Solution: 288/274 = 144/137

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 274: 1, 2, 137, 274

GCD(288, 274) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (288) and denominator (274) by 2.

288 ÷ 2/274 ÷ 2 = 144/137

Step 3

Convert Improper Fraction to a Mixed Number

Because 144 is larger than 137, 144/137 can also be written as the mixed number 1 7/137.

144/137 = 17/137

Visual Representation

The diagram below illustrates Simplify 288/274 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`144/137`
Mixed Number Form	`1 7/137`
Decimal Form	`1.051095`
Percentage	`105.1095%`

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Frequently Asked Questions

What is 288/274 in simplest form?

288/274 simplified to lowest terms is 144/137.

What is the GCD (GCF) of 288 and 274?

The Greatest Common Divisor (GCD) of 288 and 274 is 2.

What are equivalent fractions to 288/274?

Equivalent fractions to 288/274 include 288/274, 432/411, and 576/548.