Simplify 642/1500 to Lowest Terms
642/1500 simplified to its lowest terms is 107/250 (or 0.428 in decimal). See how to reduce 642/1500 using Greatest Common Divisor (GCD = 6).
Exact Answer
642/1500 = 107/250
Simplified Fraction
107/250
Mixed Number
Proper (107/250)
Decimal Value
0.428
Percentage
42.8%
Step-by-Step Solution: 642/1500 = 107/250
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 642:
โข Factors of 1500:
โข Factors of 642:
1, 2, 3, 6, 107, 214, 321, 642โข Factors of 1500:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
GCD(642, 1500) = 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 (1500) by 6.
642 รท 6/1500 รท 6 = 107/250
Visual Representation
The diagram below illustrates Simplify 642/1500 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 107/250 |
| Mixed Number Form | 107/250 |
| Decimal Form | 0.428 |
| Percentage | 42.8% |
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Frequently Asked Questions
What is 642/1500 in simplest form?
642/1500 simplified to lowest terms is 107/250.
What is the GCD (GCF) of 642 and 1500?
The Greatest Common Divisor (GCD) of 642 and 1500 is 6.
What are equivalent fractions to 642/1500?
Equivalent fractions to 642/1500 include 214/500, 321/750, and 428/1000.