Simplify 30/96 to Lowest Terms
30/96 simplified to its lowest terms is 5/16 (or 0.3125 in decimal). See how to reduce 30/96 using Greatest Common Divisor (GCD = 6).
Exact Answer
30/96 = 5/16
Simplified Fraction
5/16
Mixed Number
Proper (5/16)
Decimal Value
0.3125
Percentage
31.25%
Step-by-Step Solution: 30/96 = 5/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 96:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD(30, 96) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (30) and denominator (96) by 6.
30 ÷ 6/96 ÷ 6 = 5/16
Visual Representation
The diagram below illustrates Simplify 30/96 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/16 |
| Mixed Number Form | 5/16 |
| Decimal Form | 0.3125 |
| Percentage | 31.25% |
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Frequently Asked Questions
What is 30/96 in simplest form?
30/96 simplified to lowest terms is 5/16.
What is the GCD (GCF) of 30 and 96?
The Greatest Common Divisor (GCD) of 30 and 96 is 6.
What are equivalent fractions to 30/96?
Equivalent fractions to 30/96 include 10/32, 15/48, and 20/64.