What is 1344/3080 Simplified? (Reduce 1344/3080 to Lowest Terms: 24/55)

Exact Answer

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Problem: Simplify 1344/3080 to Lowest Terms
Formula / Expression: 1344/3080 = 24/55
Final Answer: 24/55
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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 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 3080: 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55
Working: GCD(1344, 3080) = 56

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 56. Divide both the numerator (1344) and denominator (3080) by 56.
Working: 1344 ÷ 56/3080 ÷ 56 = 24/55

Key Values:
- Simplified Fraction: 24/55
- Mixed Number Form: 24/55
- Decimal Value: 0.436364
- Percentage: 43.6364%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1344-3080/
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1344/3080 = 24/55

Simplified Fraction

24/55

Mixed Number

Proper (24/55)

Decimal Value

0.436364

Percentage

43.6364%

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Step-by-Step Solution: 1344/3080 = 24/55

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 3080: 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55

GCD(1344, 3080) = 56

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 56. Divide both the numerator (1344) and denominator (3080) by 56.

1344 ÷ 56/3080 ÷ 56 = 24/55

Visual Representation

The diagram below illustrates Simplify 1344/3080 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`24/55`
Mixed Number Form	`24/55`
Decimal Form	`0.436364`
Percentage	`43.6364%`

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Frequently Asked Questions

What is 1344/3080 in simplest form?

1344/3080 simplified to lowest terms is 24/55.

What is the GCD (GCF) of 1344 and 3080?

The Greatest Common Divisor (GCD) of 1344 and 3080 is 56.

What are equivalent fractions to 1344/3080?

Equivalent fractions to 1344/3080 include 48/110, 72/165, and 96/220.