Simplify 72/192 to Lowest Terms
72/192 simplified to its lowest terms is 3/8 (or 0.375 in decimal). See how to reduce 72/192 using Greatest Common Divisor (GCD = 24).
Exact Answer
72/192 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 72/192 = 3/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 192:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 192:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
GCD(72, 192) = 24
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (72) and denominator (192) by 24.
72 ÷ 24/192 ÷ 24 = 3/8
Visual Representation
The diagram below illustrates Simplify 72/192 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/8 |
| Mixed Number Form | 3/8 |
| Decimal Form | 0.375 |
| Percentage | 37.5% |
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Frequently Asked Questions
What is 72/192 in simplest form?
72/192 simplified to lowest terms is 3/8.
What is the GCD (GCF) of 72 and 192?
The Greatest Common Divisor (GCD) of 72 and 192 is 24.
What are equivalent fractions to 72/192?
Equivalent fractions to 72/192 include 6/16, 9/24, and 12/32.