Simplify 30/48 to Lowest Terms
30/48 simplified to its lowest terms is 5/8 (or 0.625 in decimal). See how to reduce 30/48 using Greatest Common Divisor (GCD = 6).
Exact Answer
30/48 = 5/8
Simplified Fraction
5/8
Mixed Number
Proper (5/8)
Decimal Value
0.625
Percentage
62.5%
Step-by-Step Solution: 30/48 = 5/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 48:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
GCD(30, 48) = 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 (48) by 6.
30 ÷ 6/48 ÷ 6 = 5/8
Visual Representation
The diagram below illustrates Simplify 30/48 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/8 |
| Mixed Number Form | 5/8 |
| Decimal Form | 0.625 |
| Percentage | 62.5% |
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Frequently Asked Questions
What is 30/48 in simplest form?
30/48 simplified to lowest terms is 5/8.
What is the GCD (GCF) of 30 and 48?
The Greatest Common Divisor (GCD) of 30 and 48 is 6.
What are equivalent fractions to 30/48?
Equivalent fractions to 30/48 include 10/16, 15/24, and 20/32.