Simplify 48/30 to Lowest Terms
48/30 simplified to its lowest terms is 8/5 (or 1.6 in decimal). See how to reduce 48/30 using Greatest Common Divisor (GCD = 6).
Exact Answer
48/30 = 8/5
Simplified Fraction
8/5
Mixed Number
1 3/5
Decimal Value
1.6
Percentage
160%
Step-by-Step Solution: 48/30 = 8/5
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48:
• Factors of 30:
• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30
GCD(48, 30) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (48) and denominator (30) by 6.
48 ÷ 6/30 ÷ 6 = 8/5
Step 3
Convert Improper Fraction to a Mixed Number
Because 8 is larger than 5, 8/5 can also be written as the mixed number 1 3/5.
8/5 = 13/5
Visual Representation
The diagram below illustrates Simplify 48/30 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 8/5 |
| Mixed Number Form | 1 3/5 |
| Decimal Form | 1.6 |
| Percentage | 160% |
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Frequently Asked Questions
What is 48/30 in simplest form?
48/30 simplified to lowest terms is 8/5.
What is the GCD (GCF) of 48 and 30?
The Greatest Common Divisor (GCD) of 48 and 30 is 6.
What are equivalent fractions to 48/30?
Equivalent fractions to 48/30 include 16/10, 24/15, and 32/20.