Simplify 144/192 to Lowest Terms
144/192 simplified to its lowest terms is 3/4 (or 0.75 in decimal). See how to reduce 144/192 using Greatest Common Divisor (GCD = 48).
Exact Answer
144/192 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 144/192 = 3/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 144:
• Factors of 192:
• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144• Factors of 192:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
GCD(144, 192) = 48
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 48. Divide both the numerator (144) and denominator (192) by 48.
144 ÷ 48/192 ÷ 48 = 3/4
Visual Representation
The diagram below illustrates Simplify 144/192 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 144/192 in simplest form?
144/192 simplified to lowest terms is 3/4.
What is the GCD (GCF) of 144 and 192?
The Greatest Common Divisor (GCD) of 144 and 192 is 48.
What are equivalent fractions to 144/192?
Equivalent fractions to 144/192 include 6/8, 9/12, and 12/16.