What is 648/642 Simplified? (Reduce 648/642 to Lowest Terms: 108/107)

Exact Answer

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Problem: Simplify 648/642 to Lowest Terms
Formula / Expression: 648/642 = 108/107
Final Answer: 1 1/107 (108/107)
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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 648: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108
• Factors of 642: 1, 2, 3, 6, 107, 214, 321, 642
Working: GCD(648, 642) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (648) and denominator (642) by 6.
Working: 648 ÷ 6/642 ÷ 6 = 108/107

Step 3: Convert Improper Fraction to a Mixed Number
Because 108 is larger than 107, 108/107 can also be written as the mixed number 1 1/107.
Working: 108/107 = 1 1/107

Key Values:
- Simplified Fraction: 108/107
- Mixed Number Form: 1 1/107
- Decimal Value: 1.009346
- Percentage: 100.9346%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-648-642/
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648/642 = 108/107

Simplified Fraction

108/107

Mixed Number

1 1/107

Decimal Value

1.009346

Percentage

100.9346%

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Step-by-Step Solution: 648/642 = 108/107

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 648: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108
• Factors of 642: 1, 2, 3, 6, 107, 214, 321, 642

GCD(648, 642) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (648) and denominator (642) by 6.

648 ÷ 6/642 ÷ 6 = 108/107

Step 3

Convert Improper Fraction to a Mixed Number

Because 108 is larger than 107, 108/107 can also be written as the mixed number 1 1/107.

108/107 = 11/107

Visual Representation

The diagram below illustrates Simplify 648/642 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`108/107`
Mixed Number Form	`1 1/107`
Decimal Form	`1.009346`
Percentage	`100.9346%`

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Frequently Asked Questions

What is 648/642 in simplest form?

648/642 simplified to lowest terms is 108/107.

What is the GCD (GCF) of 648 and 642?

The Greatest Common Divisor (GCD) of 648 and 642 is 6.

What are equivalent fractions to 648/642?

Equivalent fractions to 648/642 include 216/214, 324/321, and 432/428.