Simplify 30/76 to Lowest Terms
30/76 simplified to its lowest terms is 15/38 (or 0.394737 in decimal). See how to reduce 30/76 using Greatest Common Divisor (GCD = 2).
Exact Answer
30/76 = 15/38
Simplified Fraction
15/38
Mixed Number
Proper (15/38)
Decimal Value
0.394737
Percentage
39.4737%
Step-by-Step Solution: 30/76 = 15/38
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 76:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 76:
1, 2, 4, 19, 38, 76
GCD(30, 76) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (30) and denominator (76) by 2.
30 ÷ 2/76 ÷ 2 = 15/38
Visual Representation
The diagram below illustrates Simplify 30/76 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 15/38 |
| Mixed Number Form | 15/38 |
| Decimal Form | 0.394737 |
| Percentage | 39.4737% |
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Frequently Asked Questions
What is 30/76 in simplest form?
30/76 simplified to lowest terms is 15/38.
What is the GCD (GCF) of 30 and 76?
The Greatest Common Divisor (GCD) of 30 and 76 is 2.
What are equivalent fractions to 30/76?
Equivalent fractions to 30/76 include 30/76, 45/114, and 60/152.