What is 48142/45484 Simplified? (Reduce 48142/45484 to Lowest Terms: 24071/22742)

Exact Answer

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Problem: Simplify 48142/45484 to Lowest Terms
Formula / Expression: 48142/45484 = 24071/22742
Final Answer: 1 1329/22742 (24071/22742)
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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 48142: 1, 2, 24071, 48142
• Factors of 45484: 1, 2, 4, 83, 137, 166, 274, 332, 548, 11371, 22742, 45484
Working: GCD(48142, 45484) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (48142) and denominator (45484) by 2.
Working: 48142 ÷ 2/45484 ÷ 2 = 24071/22742

Step 3: Convert Improper Fraction to a Mixed Number
Because 24071 is larger than 22742, 24071/22742 can also be written as the mixed number 1 1329/22742.
Working: 24071/22742 = 1 1329/22742

Key Values:
- Simplified Fraction: 24071/22742
- Mixed Number Form: 1 1329/22742
- Decimal Value: 1.058438
- Percentage: 105.8438%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-48142-45484/
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48142/45484 = 24071/22742

Simplified Fraction

24071/22742

Mixed Number

1 1329/22742

Decimal Value

1.058438

Percentage

105.8438%

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Step-by-Step Solution: 48142/45484 = 24071/22742

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 48142: 1, 2, 24071, 48142
• Factors of 45484: 1, 2, 4, 83, 137, 166, 274, 332, 548, 11371, 22742, 45484

GCD(48142, 45484) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (48142) and denominator (45484) by 2.

48142 ÷ 2/45484 ÷ 2 = 24071/22742

Step 3

Convert Improper Fraction to a Mixed Number

Because 24071 is larger than 22742, 24071/22742 can also be written as the mixed number 1 1329/22742.

24071/22742 = 11329/22742

Visual Representation

The diagram below illustrates Simplify 48142/45484 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`24071/22742`
Mixed Number Form	`1 1329/22742`
Decimal Form	`1.058438`
Percentage	`105.8438%`

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Frequently Asked Questions

What is 48142/45484 in simplest form?

48142/45484 simplified to lowest terms is 24071/22742.

What is the GCD (GCF) of 48142 and 45484?

The Greatest Common Divisor (GCD) of 48142 and 45484 is 2.

What are equivalent fractions to 48142/45484?

Equivalent fractions to 48142/45484 include 48142/45484, 72213/68226, and 96284/90968.