3.8 as a Fraction

Learn how to convert the decimal number 3.8 to a fraction. We'll show you the answer and walk through the conversion process step by step.

Answer:

3.8 = 3 ⁴/₅ or ¹⁹/₅

3.8 as a fraction is 19/5 or 3 4/5 (mixed number)

Follow these steps to convert 3.8 to a fraction:

Step 1

Start by writing 3.8 as a fraction with 1 as the denominator:

3.8 = 3.8/1

Step 2

Since there are 1 digit(s) after the decimal point, multiply both numerator and denominator by 10:

(3.8 × 10) / (1 × 10) = 38/10

Step 3

Find the Greatest Common Divisor (GCD) of 38 and 10, which is 2. Divide both numerator and denominator by 2:

(38 ÷ 2) / (10 ÷ 2) = 19/5

Step 4

Since 19/5 is an improper fraction (numerator is larger than denominator), we can convert it to a mixed number:

19 ÷ 5 = 3 remainder 4, so 19/5 = 3 4/5

Final Answer: 3.8 = 3 4/5 (mixed number) or 19/5 (improper fraction)