What is 5488/20704 Simplified? (Reduce 5488/20704 to Lowest Terms: 343/1294)

Exact Answer

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Problem: Simplify 5488/20704 to Lowest Terms
Formula / Expression: 5488/20704 = 343/1294
Final Answer: 343/1294
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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 5488: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686
• Factors of 20704: 1, 2, 4, 8, 16, 32, 647, 1294, 2588, 5176, 10352, 20704
Working: GCD(5488, 20704) = 16

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (5488) and denominator (20704) by 16.
Working: 5488 ÷ 16/20704 ÷ 16 = 343/1294

Key Values:
- Simplified Fraction: 343/1294
- Mixed Number Form: 343/1294
- Decimal Value: 0.26507
- Percentage: 26.507%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-5488-20704/
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5488/20704 = 343/1294

Simplified Fraction

343/1294

Mixed Number

Proper (343/1294)

Decimal Value

0.26507

Percentage

26.507%

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Step-by-Step Solution: 5488/20704 = 343/1294

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 5488: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686
• Factors of 20704: 1, 2, 4, 8, 16, 32, 647, 1294, 2588, 5176, 10352, 20704

GCD(5488, 20704) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (5488) and denominator (20704) by 16.

5488 ÷ 16/20704 ÷ 16 = 343/1294

Visual Representation

The diagram below illustrates Simplify 5488/20704 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`343/1294`
Mixed Number Form	`343/1294`
Decimal Form	`0.26507`
Percentage	`26.507%`

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Frequently Asked Questions

What is 5488/20704 in simplest form?

5488/20704 simplified to lowest terms is 343/1294.

What is the GCD (GCF) of 5488 and 20704?

The Greatest Common Divisor (GCD) of 5488 and 20704 is 16.

What are equivalent fractions to 5488/20704?

Equivalent fractions to 5488/20704 include 686/2588, 1029/3882, and 1372/5176.