What is 550/1288 Simplified? (Reduce 550/1288 to Lowest Terms: 275/644)

Exact Answer

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Problem: Simplify 550/1288 to Lowest Terms
Formula / Expression: 550/1288 = 275/644
Final Answer: 275/644
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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 550: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
• Factors of 1288: 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288
Working: GCD(550, 1288) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (550) and denominator (1288) by 2.
Working: 550 ÷ 2/1288 ÷ 2 = 275/644

Key Values:
- Simplified Fraction: 275/644
- Mixed Number Form: 275/644
- Decimal Value: 0.427019
- Percentage: 42.7019%

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550/1288 = 275/644

Simplified Fraction

275/644

Mixed Number

Proper (275/644)

Decimal Value

0.427019

Percentage

42.7019%

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Step-by-Step Solution: 550/1288 = 275/644

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 550: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
• Factors of 1288: 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288

GCD(550, 1288) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (550) and denominator (1288) by 2.

550 ÷ 2/1288 ÷ 2 = 275/644

Visual Representation

The diagram below illustrates Simplify 550/1288 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`275/644`
Mixed Number Form	`275/644`
Decimal Form	`0.427019`
Percentage	`42.7019%`

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Frequently Asked Questions

What is 550/1288 in simplest form?

550/1288 simplified to lowest terms is 275/644.

What is the GCD (GCF) of 550 and 1288?

The Greatest Common Divisor (GCD) of 550 and 1288 is 2.

What are equivalent fractions to 550/1288?

Equivalent fractions to 550/1288 include 550/1288, 825/1932, and 1100/2576.