Question

Convert the following decimal number into fraction in the simplest form.

$8.079$

Answer 1

Converting $8.079$ into a fraction in the simplest form:

Since there are three digits after a decimal point, so put $3$ zeroes after $1$ in the denominator.

Thus $8.079=\frac{8079}{1000}$

Prime factors of $8079$ and $1000$ are

$$\begin{gathered} 8079=3\times 2693 \\ 1000=2\times 2\times 2\times 5\times 5\times 5 \end{gathered}$$

Since there are no common factors other than $1$, which means it is already in its lowest form.

Therefore, $8.079=\frac{8079}{1000}$