Simplify 30/80 to Lowest Terms
30/80 simplified to its lowest terms is 3/8 (or 0.375 in decimal). See how to reduce 30/80 using Greatest Common Divisor (GCD = 10).
Exact Answer
30/80 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 30/80 = 3/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 80:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 80:
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
GCD(30, 80) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (30) and denominator (80) by 10.
30 ÷ 10/80 ÷ 10 = 3/8
Visual Representation
The diagram below illustrates Simplify 30/80 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 30/80 in simplest form?
30/80 simplified to lowest terms is 3/8.
What is the GCD (GCF) of 30 and 80?
The Greatest Common Divisor (GCD) of 30 and 80 is 10.
What are equivalent fractions to 30/80?
Equivalent fractions to 30/80 include 6/16, 9/24, and 12/32.