Simplify 144/642 to Lowest Terms
144/642 simplified to its lowest terms is 24/107 (or 0.224299 in decimal). See how to reduce 144/642 using Greatest Common Divisor (GCD = 6).
Exact Answer
144/642 = 24/107
Simplified Fraction
24/107
Mixed Number
Proper (24/107)
Decimal Value
0.224299
Percentage
22.4299%
Step-by-Step Solution: 144/642 = 24/107
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 144:
โข Factors of 642:
โข Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144โข Factors of 642:
1, 2, 3, 6, 107, 214, 321, 642
GCD(144, 642) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (144) and denominator (642) by 6.
144 รท 6/642 รท 6 = 24/107
Visual Representation
The diagram below illustrates Simplify 144/642 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 24/107 |
| Mixed Number Form | 24/107 |
| Decimal Form | 0.224299 |
| Percentage | 22.4299% |
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Frequently Asked Questions
What is 144/642 in simplest form?
144/642 simplified to lowest terms is 24/107.
What is the GCD (GCF) of 144 and 642?
The Greatest Common Divisor (GCD) of 144 and 642 is 6.
What are equivalent fractions to 144/642?
Equivalent fractions to 144/642 include 48/214, 72/321, and 96/428.