Simplify 48/38 to Lowest Terms
48/38 simplified to its lowest terms is 24/19 (or 1.263158 in decimal). See how to reduce 48/38 using Greatest Common Divisor (GCD = 2).
Exact Answer
48/38 = 24/19
Simplified Fraction
24/19
Mixed Number
1 5/19
Decimal Value
1.263158
Percentage
126.3158%
Step-by-Step Solution: 48/38 = 24/19
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48:
• Factors of 38:
• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48• Factors of 38:
1, 2, 19, 38
GCD(48, 38) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (48) and denominator (38) by 2.
48 ÷ 2/38 ÷ 2 = 24/19
Step 3
Convert Improper Fraction to a Mixed Number
Because 24 is larger than 19, 24/19 can also be written as the mixed number 1 5/19.
24/19 = 15/19
Visual Representation
The diagram below illustrates Simplify 48/38 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 24/19 |
| Mixed Number Form | 1 5/19 |
| Decimal Form | 1.263158 |
| Percentage | 126.3158% |
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Frequently Asked Questions
What is 48/38 in simplest form?
48/38 simplified to lowest terms is 24/19.
What is the GCD (GCF) of 48 and 38?
The Greatest Common Divisor (GCD) of 48 and 38 is 2.
What are equivalent fractions to 48/38?
Equivalent fractions to 48/38 include 48/38, 72/57, and 96/76.