Convert Decimal 1.4 to Simplified Fraction Form

Question

Convert into a mixed fraction:

1.4 1.4

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 4 by 10 and add 1 which represents one whole number, as follows:

1+410 1+\frac{4}{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:

1+4:210:2=1+25=125 1+\frac{4:2}{10:2}=1+\frac{2}{5}=1\frac{2}{5}

Answer

125 1\frac{2}{5}