Convert 2.6 to a Simplified Fraction: Step-by-Step Solution

Question

Convert into a mixed fraction:

2.6 2.6

Video Solution

Step-by-Step Solution

Let's write the decimal fraction as a mixed fraction.

Since there is one digit after the decimal point, we divide 6 by 10 and add 2, as follows:

2+610 2+\frac{6}{10}

Now let's divide the simple fraction by the highest number that can divide both the numerator and denominator, in this case the number is 2:

2+6:210:2=2+35=235 2+\frac{6:2}{10:2}=2+\frac{3}{5}=2\frac{3}{5}

Answer

235 2\frac{3}{5}