2.6 as a Fraction

Convert the decimal 2.6 to a fraction with step-by-step explanation.

Answer: 2.6 = \frac{13}{5}

Step-by-Step Solution

Step 1 Identify the Decimal

We need to convert 2.6 to a fraction.

This is a terminating decimal.

2.6 = ?

Step 2 Count Decimal Places

The decimal part is '6'

There are 1 digits after the decimal point.

The denominator will be 10

\text{Denominator} = 10^1 = 10

Step 3 Create the Fraction

Remove the decimal point and use the number as the numerator.

Numerator = 26, Denominator = 10

2.6 = \frac{26}{10}

Step 4 Simplify the Fraction

Find the GCF of 26 and 10: 2

Divide both by 2

\frac{26}{10} = \frac{13}{5}

Step 5 Final Answer

The decimal 2.6 as a fraction is 13/5

2.6 = \frac{13}{5}