2.6 as a Fraction

Learn how to convert the decimal number 2.6 to a fraction. We'll show you the answer and walk through the conversion process step by step.

Answer:

2.6 = 2 ³/₅ or ¹³/₅

2.6 as a fraction is 13/5 or 2 3/5 (mixed number)

Follow these steps to convert 2.6 to a fraction:

Step 1

Start by writing 2.6 as a fraction with 1 as the denominator:

2.6 = 2.6/1

Step 2

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

(2.6 × 10) / (1 × 10) = 26/10

Step 3

Find the Greatest Common Divisor (GCD) of 26 and 10, which is 2. Divide both numerator and denominator by 2:

(26 ÷ 2) / (10 ÷ 2) = 13/5

Step 4

Since 13/5 is an improper fraction (numerator is larger than denominator), we can convert it to a mixed number:

13 ÷ 5 = 2 remainder 3, so 13/5 = 2 3/5

Final Answer: 2.6 = 2 3/5 (mixed number) or 13/5 (improper fraction)