What is 7680/6742 Simplified? (Reduce 7680/6742 to Lowest Terms: 3840/3371)

Exact Answer

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Problem: Simplify 7680/6742 to Lowest Terms
Formula / Expression: 7680/6742 = 3840/3371
Final Answer: 1 469/3371 (3840/3371)
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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 7680: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
• Factors of 6742: 1, 2, 3371, 6742
Working: GCD(7680, 6742) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (7680) and denominator (6742) by 2.
Working: 7680 ÷ 2/6742 ÷ 2 = 3840/3371

Step 3: Convert Improper Fraction to a Mixed Number
Because 3840 is larger than 3371, 3840/3371 can also be written as the mixed number 1 469/3371.
Working: 3840/3371 = 1 469/3371

Key Values:
- Simplified Fraction: 3840/3371
- Mixed Number Form: 1 469/3371
- Decimal Value: 1.139128
- Percentage: 113.9128%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-7680-6742/
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7680/6742 = 3840/3371

Simplified Fraction

3840/3371

Mixed Number

1 469/3371

Decimal Value

1.139128

Percentage

113.9128%

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Step-by-Step Solution: 7680/6742 = 3840/3371

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 7680: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
• Factors of 6742: 1, 2, 3371, 6742

GCD(7680, 6742) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (7680) and denominator (6742) by 2.

7680 ÷ 2/6742 ÷ 2 = 3840/3371

Step 3

Convert Improper Fraction to a Mixed Number

Because 3840 is larger than 3371, 3840/3371 can also be written as the mixed number 1 469/3371.

3840/3371 = 1469/3371

Visual Representation

The diagram below illustrates Simplify 7680/6742 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3840/3371`
Mixed Number Form	`1 469/3371`
Decimal Form	`1.139128`
Percentage	`113.9128%`

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Frequently Asked Questions

What is 7680/6742 in simplest form?

7680/6742 simplified to lowest terms is 3840/3371.

What is the GCD (GCF) of 7680 and 6742?

The Greatest Common Divisor (GCD) of 7680 and 6742 is 2.

What are equivalent fractions to 7680/6742?

Equivalent fractions to 7680/6742 include 7680/6742, 11520/10113, and 15360/13484.