What is 744/3008 Simplified? (Reduce 744/3008 to Lowest Terms: 93/376)

Exact Answer

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Problem: Simplify 744/3008 to Lowest Terms
Formula / Expression: 744/3008 = 93/376
Final Answer: 93/376
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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 744: 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
• Factors of 3008: 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008
Working: GCD(744, 3008) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (744) and denominator (3008) by 8.
Working: 744 ÷ 8/3008 ÷ 8 = 93/376

Key Values:
- Simplified Fraction: 93/376
- Mixed Number Form: 93/376
- Decimal Value: 0.24734
- Percentage: 24.734%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-744-3008/
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744/3008 = 93/376

Simplified Fraction

93/376

Mixed Number

Proper (93/376)

Decimal Value

0.24734

Percentage

24.734%

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Step-by-Step Solution: 744/3008 = 93/376

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 744: 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
• Factors of 3008: 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008

GCD(744, 3008) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (744) and denominator (3008) by 8.

744 ÷ 8/3008 ÷ 8 = 93/376

Visual Representation

The diagram below illustrates Simplify 744/3008 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`93/376`
Mixed Number Form	`93/376`
Decimal Form	`0.24734`
Percentage	`24.734%`

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Frequently Asked Questions

What is 744/3008 in simplest form?

744/3008 simplified to lowest terms is 93/376.

What is the GCD (GCF) of 744 and 3008?

The Greatest Common Divisor (GCD) of 744 and 3008 is 8.

What are equivalent fractions to 744/3008?

Equivalent fractions to 744/3008 include 186/752, 279/1128, and 372/1504.