Simplify 72/384 to Lowest Terms
72/384 simplified to its lowest terms is 3/16 (or 0.1875 in decimal). See how to reduce 72/384 using Greatest Common Divisor (GCD = 24).
Exact Answer
72/384 = 3/16
Simplified Fraction
3/16
Mixed Number
Proper (3/16)
Decimal Value
0.1875
Percentage
18.75%
Step-by-Step Solution: 72/384 = 3/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 384:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 384:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD(72, 384) = 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 (384) by 24.
72 ÷ 24/384 ÷ 24 = 3/16
Visual Representation
The diagram below illustrates Simplify 72/384 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/16 |
| Mixed Number Form | 3/16 |
| Decimal Form | 0.1875 |
| Percentage | 18.75% |
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Frequently Asked Questions
What is 72/384 in simplest form?
72/384 simplified to lowest terms is 3/16.
What is the GCD (GCF) of 72 and 384?
The Greatest Common Divisor (GCD) of 72 and 384 is 24.
What are equivalent fractions to 72/384?
Equivalent fractions to 72/384 include 6/32, 9/48, and 12/64.