Convert Decimal 16.4 to Simplified Imaginary Fraction

Question

Convert into a mixed fraction:

16.4 16.4

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 16, as follows:

16+410 16+\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:

16+4:210:2=16+25=1625 16+\frac{4:2}{10:2}=16+\frac{2}{5}=16\frac{2}{5}

Answer

1625 16\frac{2}{5}