What is 7400/6742 Simplified? (Reduce 7400/6742 to Lowest Terms: 3700/3371)

Exact Answer

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Problem: Simplify 7400/6742 to Lowest Terms
Formula / Expression: 7400/6742 = 3700/3371
Final Answer: 1 329/3371 (3700/3371)
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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 7400: 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200
• Factors of 6742: 1, 2, 3371, 6742
Working: GCD(7400, 6742) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (7400) and denominator (6742) by 2.
Working: 7400 ÷ 2/6742 ÷ 2 = 3700/3371

Step 3: Convert Improper Fraction to a Mixed Number
Because 3700 is larger than 3371, 3700/3371 can also be written as the mixed number 1 329/3371.
Working: 3700/3371 = 1 329/3371

Key Values:
- Simplified Fraction: 3700/3371
- Mixed Number Form: 1 329/3371
- Decimal Value: 1.097597
- Percentage: 109.7597%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-7400-6742/
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7400/6742 = 3700/3371

Simplified Fraction

3700/3371

Mixed Number

1 329/3371

Decimal Value

1.097597

Percentage

109.7597%

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Step-by-Step Solution: 7400/6742 = 3700/3371

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 7400: 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200
• Factors of 6742: 1, 2, 3371, 6742

GCD(7400, 6742) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (7400) and denominator (6742) by 2.

7400 ÷ 2/6742 ÷ 2 = 3700/3371

Step 3

Convert Improper Fraction to a Mixed Number

Because 3700 is larger than 3371, 3700/3371 can also be written as the mixed number 1 329/3371.

3700/3371 = 1329/3371

Visual Representation

The diagram below illustrates Simplify 7400/6742 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3700/3371`
Mixed Number Form	`1 329/3371`
Decimal Form	`1.097597`
Percentage	`109.7597%`

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Frequently Asked Questions

What is 7400/6742 in simplest form?

7400/6742 simplified to lowest terms is 3700/3371.

What is the GCD (GCF) of 7400 and 6742?

The Greatest Common Divisor (GCD) of 7400 and 6742 is 2.

What are equivalent fractions to 7400/6742?

Equivalent fractions to 7400/6742 include 7400/6742, 11100/10113, and 14800/13484.