What is 9024/7068 Simplified? (Reduce 9024/7068 to Lowest Terms: 752/589)

Exact Answer

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Problem: Simplify 9024/7068 to Lowest Terms
Formula / Expression: 9024/7068 = 752/589
Final Answer: 1 163/589 (752/589)
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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 9024: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141
• Factors of 7068: 1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186
Working: GCD(9024, 7068) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (9024) and denominator (7068) by 12.
Working: 9024 ÷ 12/7068 ÷ 12 = 752/589

Step 3: Convert Improper Fraction to a Mixed Number
Because 752 is larger than 589, 752/589 can also be written as the mixed number 1 163/589.
Working: 752/589 = 1 163/589

Key Values:
- Simplified Fraction: 752/589
- Mixed Number Form: 1 163/589
- Decimal Value: 1.27674
- Percentage: 127.674%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-9024-7068/
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9024/7068 = 752/589

Simplified Fraction

752/589

Mixed Number

1 163/589

Decimal Value

1.27674

Percentage

127.674%

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Step-by-Step Solution: 9024/7068 = 752/589

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 9024: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141
• Factors of 7068: 1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186

GCD(9024, 7068) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (9024) and denominator (7068) by 12.

9024 ÷ 12/7068 ÷ 12 = 752/589

Step 3

Convert Improper Fraction to a Mixed Number

Because 752 is larger than 589, 752/589 can also be written as the mixed number 1 163/589.

752/589 = 1163/589

Visual Representation

The diagram below illustrates Simplify 9024/7068 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`752/589`
Mixed Number Form	`1 163/589`
Decimal Form	`1.27674`
Percentage	`127.674%`

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Frequently Asked Questions

What is 9024/7068 in simplest form?

9024/7068 simplified to lowest terms is 752/589.

What is the GCD (GCF) of 9024 and 7068?

The Greatest Common Divisor (GCD) of 9024 and 7068 is 12.

What are equivalent fractions to 9024/7068?

Equivalent fractions to 9024/7068 include 1504/1178, 2256/1767, and 3008/2356.