What is 8280/7296 Simplified? (Reduce 8280/7296 to Lowest Terms: 345/304)

Exact Answer

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Problem: Simplify 8280/7296 to Lowest Terms
Formula / Expression: 8280/7296 = 345/304
Final Answer: 1 41/304 (345/304)
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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 8280: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30
• Factors of 7296: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76
Working: GCD(8280, 7296) = 24

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (8280) and denominator (7296) by 24.
Working: 8280 ÷ 24/7296 ÷ 24 = 345/304

Step 3: Convert Improper Fraction to a Mixed Number
Because 345 is larger than 304, 345/304 can also be written as the mixed number 1 41/304.
Working: 345/304 = 1 41/304

Key Values:
- Simplified Fraction: 345/304
- Mixed Number Form: 1 41/304
- Decimal Value: 1.134868
- Percentage: 113.4868%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-8280-7296/
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8280/7296 = 345/304

Simplified Fraction

345/304

Mixed Number

1 41/304

Decimal Value

1.134868

Percentage

113.4868%

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Step-by-Step Solution: 8280/7296 = 345/304

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 8280: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30
• Factors of 7296: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76

GCD(8280, 7296) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (8280) and denominator (7296) by 24.

8280 ÷ 24/7296 ÷ 24 = 345/304

Step 3

Convert Improper Fraction to a Mixed Number

Because 345 is larger than 304, 345/304 can also be written as the mixed number 1 41/304.

345/304 = 141/304

Visual Representation

The diagram below illustrates Simplify 8280/7296 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`345/304`
Mixed Number Form	`1 41/304`
Decimal Form	`1.134868`
Percentage	`113.4868%`

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Frequently Asked Questions

What is 8280/7296 in simplest form?

8280/7296 simplified to lowest terms is 345/304.

What is the GCD (GCF) of 8280 and 7296?

The Greatest Common Divisor (GCD) of 8280 and 7296 is 24.

What are equivalent fractions to 8280/7296?

Equivalent fractions to 8280/7296 include 690/608, 1035/912, and 1380/1216.