What is 1008/1722 Simplified? (Reduce 1008/1722 to Lowest Terms: 24/41)

Exact Answer

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Problem: Simplify 1008/1722 to Lowest Terms
Formula / Expression: 1008/1722 = 24/41
Final Answer: 24/41
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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 1008: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36
• Factors of 1722: 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
Working: GCD(1008, 1722) = 42

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 42. Divide both the numerator (1008) and denominator (1722) by 42.
Working: 1008 ÷ 42/1722 ÷ 42 = 24/41

Key Values:
- Simplified Fraction: 24/41
- Mixed Number Form: 24/41
- Decimal Value: 0.585366
- Percentage: 58.5366%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1008-1722/
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1008/1722 = 24/41

Simplified Fraction

24/41

Mixed Number

Proper (24/41)

Decimal Value

0.585366

Percentage

58.5366%

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Step-by-Step Solution: 1008/1722 = 24/41

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1008: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36
• Factors of 1722: 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722

GCD(1008, 1722) = 42

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 42. Divide both the numerator (1008) and denominator (1722) by 42.

1008 ÷ 42/1722 ÷ 42 = 24/41

Visual Representation

The diagram below illustrates Simplify 1008/1722 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`24/41`
Mixed Number Form	`24/41`
Decimal Form	`0.585366`
Percentage	`58.5366%`

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Frequently Asked Questions

What is 1008/1722 in simplest form?

1008/1722 simplified to lowest terms is 24/41.

What is the GCD (GCF) of 1008 and 1722?

The Greatest Common Divisor (GCD) of 1008 and 1722 is 42.

What are equivalent fractions to 1008/1722?

Equivalent fractions to 1008/1722 include 48/82, 72/123, and 96/164.