2.4 as a Fraction

Learn how to convert the decimal number 2.4 to a fraction. We'll show you the answer and walk through the conversion process step by step.

Answer:

2.4 = 2 ²/₅ or ¹²/₅

2.4 as a fraction is 12/5 or 2 2/5 (mixed number)

Follow these steps to convert 2.4 to a fraction:

Step 1

Start by writing 2.4 as a fraction with 1 as the denominator:

2.4 = 2.4/1

Step 2

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

(2.4 × 10) / (1 × 10) = 24/10

Step 3

Find the Greatest Common Divisor (GCD) of 24 and 10, which is 2. Divide both numerator and denominator by 2:

(24 ÷ 2) / (10 ÷ 2) = 12/5

Step 4

Since 12/5 is an improper fraction (numerator is larger than denominator), we can convert it to a mixed number:

12 ÷ 5 = 2 remainder 2, so 12/5 = 2 2/5

Final Answer: 2.4 = 2 2/5 (mixed number) or 12/5 (improper fraction)