What is 42480/34842 Simplified? (Reduce 42480/34842 to Lowest Terms: 7080/5807)

Exact Answer

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Problem: Simplify 42480/34842 to Lowest Terms
Formula / Expression: 42480/34842 = 7080/5807
Final Answer: 1 1273/5807 (7080/5807)
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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 42480: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 34842: 1, 2, 3, 6, 5807, 11614, 17421, 34842
Working: GCD(42480, 34842) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (42480) and denominator (34842) by 6.
Working: 42480 ÷ 6/34842 ÷ 6 = 7080/5807

Step 3: Convert Improper Fraction to a Mixed Number
Because 7080 is larger than 5807, 7080/5807 can also be written as the mixed number 1 1273/5807.
Working: 7080/5807 = 1 1273/5807

Key Values:
- Simplified Fraction: 7080/5807
- Mixed Number Form: 1 1273/5807
- Decimal Value: 1.219218
- Percentage: 121.9218%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-42480-34842/
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42480/34842 = 7080/5807

Simplified Fraction

7080/5807

Mixed Number

1 1273/5807

Decimal Value

1.219218

Percentage

121.9218%

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Step-by-Step Solution: 42480/34842 = 7080/5807

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 42480: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 34842: 1, 2, 3, 6, 5807, 11614, 17421, 34842

GCD(42480, 34842) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (42480) and denominator (34842) by 6.

42480 ÷ 6/34842 ÷ 6 = 7080/5807

Step 3

Convert Improper Fraction to a Mixed Number

Because 7080 is larger than 5807, 7080/5807 can also be written as the mixed number 1 1273/5807.

7080/5807 = 11273/5807

Visual Representation

The diagram below illustrates Simplify 42480/34842 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7080/5807`
Mixed Number Form	`1 1273/5807`
Decimal Form	`1.219218`
Percentage	`121.9218%`

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Frequently Asked Questions

What is 42480/34842 in simplest form?

42480/34842 simplified to lowest terms is 7080/5807.

What is the GCD (GCF) of 42480 and 34842?

The Greatest Common Divisor (GCD) of 42480 and 34842 is 6.

What are equivalent fractions to 42480/34842?

Equivalent fractions to 42480/34842 include 14160/11614, 21240/17421, and 28320/23228.