What is 67488/40142 Simplified? (Reduce 67488/40142 to Lowest Terms: 33744/20071)

Exact Answer

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Problem: Simplify 67488/40142 to Lowest Terms
Formula / Expression: 67488/40142 = 33744/20071
Final Answer: 1 13673/20071 (33744/20071)
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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 67488: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 37, 38, 48, 57, 74
• Factors of 40142: 1, 2, 20071, 40142
Working: GCD(67488, 40142) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (67488) and denominator (40142) by 2.
Working: 67488 ÷ 2/40142 ÷ 2 = 33744/20071

Step 3: Convert Improper Fraction to a Mixed Number
Because 33744 is larger than 20071, 33744/20071 can also be written as the mixed number 1 13673/20071.
Working: 33744/20071 = 1 13673/20071

Key Values:
- Simplified Fraction: 33744/20071
- Mixed Number Form: 1 13673/20071
- Decimal Value: 1.681232
- Percentage: 168.1232%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-67488-40142/
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67488/40142 = 33744/20071

Simplified Fraction

33744/20071

Mixed Number

1 13673/20071

Decimal Value

1.681232

Percentage

168.1232%

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Step-by-Step Solution: 67488/40142 = 33744/20071

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 67488: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 37, 38, 48, 57, 74
• Factors of 40142: 1, 2, 20071, 40142

GCD(67488, 40142) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (67488) and denominator (40142) by 2.

67488 ÷ 2/40142 ÷ 2 = 33744/20071

Step 3

Convert Improper Fraction to a Mixed Number

Because 33744 is larger than 20071, 33744/20071 can also be written as the mixed number 1 13673/20071.

33744/20071 = 113673/20071

Visual Representation

The diagram below illustrates Simplify 67488/40142 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`33744/20071`
Mixed Number Form	`1 13673/20071`
Decimal Form	`1.681232`
Percentage	`168.1232%`

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Frequently Asked Questions

What is 67488/40142 in simplest form?

67488/40142 simplified to lowest terms is 33744/20071.

What is the GCD (GCF) of 67488 and 40142?

The Greatest Common Divisor (GCD) of 67488 and 40142 is 2.

What are equivalent fractions to 67488/40142?

Equivalent fractions to 67488/40142 include 67488/40142, 101232/60213, and 134976/80284.