What is 642/588 Simplified? (Reduce 642/588 to Lowest Terms: 107/98)

Exact Answer

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Problem: Simplify 642/588 to Lowest Terms
Formula / Expression: 642/588 = 107/98
Final Answer: 1 9/98 (107/98)
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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 642: 1, 2, 3, 6, 107, 214, 321, 642
• Factors of 588: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196
Working: GCD(642, 588) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (642) and denominator (588) by 6.
Working: 642 ÷ 6/588 ÷ 6 = 107/98

Step 3: Convert Improper Fraction to a Mixed Number
Because 107 is larger than 98, 107/98 can also be written as the mixed number 1 9/98.
Working: 107/98 = 1 9/98

Key Values:
- Simplified Fraction: 107/98
- Mixed Number Form: 1 9/98
- Decimal Value: 1.091837
- Percentage: 109.1837%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-642-588/
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642/588 = 107/98

Simplified Fraction

107/98

Mixed Number

1 9/98

Decimal Value

1.091837

Percentage

109.1837%

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Step-by-Step Solution: 642/588 = 107/98

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 642: 1, 2, 3, 6, 107, 214, 321, 642
• Factors of 588: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196

GCD(642, 588) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (642) and denominator (588) by 6.

642 ÷ 6/588 ÷ 6 = 107/98

Step 3

Convert Improper Fraction to a Mixed Number

Because 107 is larger than 98, 107/98 can also be written as the mixed number 1 9/98.

107/98 = 19/98

Visual Representation

The diagram below illustrates Simplify 642/588 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`107/98`
Mixed Number Form	`1 9/98`
Decimal Form	`1.091837`
Percentage	`109.1837%`

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Frequently Asked Questions

What is 642/588 in simplest form?

642/588 simplified to lowest terms is 107/98.

What is the GCD (GCF) of 642 and 588?

The Greatest Common Divisor (GCD) of 642 and 588 is 6.

What are equivalent fractions to 642/588?

Equivalent fractions to 642/588 include 214/196, 321/294, and 428/392.