What is 9000/20742 Simplified? (Reduce 9000/20742 to Lowest Terms: 1500/3457)

Exact Answer

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Problem: Simplify 9000/20742 to Lowest Terms
Formula / Expression: 9000/20742 = 1500/3457
Final Answer: 1500/3457
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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 9000: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30
• Factors of 20742: 1, 2, 3, 6, 3457, 6914, 10371, 20742
Working: GCD(9000, 20742) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (9000) and denominator (20742) by 6.
Working: 9000 ÷ 6/20742 ÷ 6 = 1500/3457

Key Values:
- Simplified Fraction: 1500/3457
- Mixed Number Form: 1500/3457
- Decimal Value: 0.433902
- Percentage: 43.3902%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-9000-20742/
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9000/20742 = 1500/3457

Simplified Fraction

1500/3457

Mixed Number

Proper (1500/3457)

Decimal Value

0.433902

Percentage

43.3902%

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Step-by-Step Solution: 9000/20742 = 1500/3457

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 9000: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30
• Factors of 20742: 1, 2, 3, 6, 3457, 6914, 10371, 20742

GCD(9000, 20742) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (9000) and denominator (20742) by 6.

9000 ÷ 6/20742 ÷ 6 = 1500/3457

Visual Representation

The diagram below illustrates Simplify 9000/20742 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1500/3457`
Mixed Number Form	`1500/3457`
Decimal Form	`0.433902`
Percentage	`43.3902%`

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Frequently Asked Questions

What is 9000/20742 in simplest form?

9000/20742 simplified to lowest terms is 1500/3457.

What is the GCD (GCF) of 9000 and 20742?

The Greatest Common Divisor (GCD) of 9000 and 20742 is 6.

What are equivalent fractions to 9000/20742?

Equivalent fractions to 9000/20742 include 3000/6914, 4500/10371, and 6000/13828.