Simplify 48/214 to Lowest Terms
48/214 simplified to its lowest terms is 24/107 (or 0.224299 in decimal). See how to reduce 48/214 using Greatest Common Divisor (GCD = 2).
Exact Answer
48/214 = 24/107
Simplified Fraction
24/107
Mixed Number
Proper (24/107)
Decimal Value
0.224299
Percentage
22.4299%
Step-by-Step Solution: 48/214 = 24/107
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48:
• Factors of 214:
• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48• Factors of 214:
1, 2, 107, 214
GCD(48, 214) = 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 (214) by 2.
48 ÷ 2/214 ÷ 2 = 24/107
Visual Representation
The diagram below illustrates Simplify 48/214 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 24/107 |
| Mixed Number Form | 24/107 |
| Decimal Form | 0.224299 |
| Percentage | 22.4299% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 48/214 in simplest form?
48/214 simplified to lowest terms is 24/107.
What is the GCD (GCF) of 48 and 214?
The Greatest Common Divisor (GCD) of 48 and 214 is 2.
What are equivalent fractions to 48/214?
Equivalent fractions to 48/214 include 48/214, 72/321, and 96/428.