Simplify 8/30 to Lowest Terms
8/30 simplified to its lowest terms is 4/15 (or 0.266667 in decimal). See how to reduce 8/30 using Greatest Common Divisor (GCD = 2).
Exact Answer
8/30 = 4/15
Simplified Fraction
4/15
Mixed Number
Proper (4/15)
Decimal Value
0.266667
Percentage
26.6667%
Step-by-Step Solution: 8/30 = 4/15
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 8:
• Factors of 30:
• Factors of 8:
1, 2, 4, 8• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30
GCD(8, 30) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (8) and denominator (30) by 2.
8 ÷ 2/30 ÷ 2 = 4/15
Visual Representation
The diagram below illustrates Simplify 8/30 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/15 |
| Mixed Number Form | 4/15 |
| Decimal Form | 0.266667 |
| Percentage | 26.6667% |
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Frequently Asked Questions
What is 8/30 in simplest form?
8/30 simplified to lowest terms is 4/15.
What is the GCD (GCF) of 8 and 30?
The Greatest Common Divisor (GCD) of 8 and 30 is 2.
What are equivalent fractions to 8/30?
Equivalent fractions to 8/30 include 8/30, 12/45, and 16/60.