What is 642/420 Simplified? (Reduce 642/420 to Lowest Terms: 107/70)

Exact Answer

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Problem: Simplify 642/420 to Lowest Terms
Formula / Expression: 642/420 = 107/70
Final Answer: 1 37/70 (107/70)
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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 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
Working: GCD(642, 420) = 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 (420) by 6.
Working: 642 ÷ 6/420 ÷ 6 = 107/70

Step 3: Convert Improper Fraction to a Mixed Number
Because 107 is larger than 70, 107/70 can also be written as the mixed number 1 37/70.
Working: 107/70 = 1 37/70

Key Values:
- Simplified Fraction: 107/70
- Mixed Number Form: 1 37/70
- Decimal Value: 1.528571
- Percentage: 152.8571%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-642-420/
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642/420 = 107/70

Simplified Fraction

107/70

Mixed Number

1 37/70

Decimal Value

1.528571

Percentage

152.8571%

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Step-by-Step Solution: 642/420 = 107/70

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 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35

GCD(642, 420) = 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 (420) by 6.

642 ÷ 6/420 ÷ 6 = 107/70

Step 3

Convert Improper Fraction to a Mixed Number

Because 107 is larger than 70, 107/70 can also be written as the mixed number 1 37/70.

107/70 = 137/70

Visual Representation

The diagram below illustrates Simplify 642/420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`107/70`
Mixed Number Form	`1 37/70`
Decimal Form	`1.528571`
Percentage	`152.8571%`

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Frequently Asked Questions

What is 642/420 in simplest form?

642/420 simplified to lowest terms is 107/70.

What is the GCD (GCF) of 642 and 420?

The Greatest Common Divisor (GCD) of 642 and 420 is 6.

What are equivalent fractions to 642/420?

Equivalent fractions to 642/420 include 214/140, 321/210, and 428/280.