Question

Find the quotient. Write fraction in simplest form.

$12.42÷(-4.8)$

Answer 1

Step-1 :Division of decimals:

$12.42÷(-4.8)$

We know that,

$a÷b=a\times \frac{1}{b}$

$$\begin{gathered} 12.42÷(-4.8) \\ =12.42\times \frac{-1}{4.8} \\ =\frac{-1242\times 10}{48\times 100} \\ =\frac{-207\times 6\times 10}{8\times 6\times 10\times 10} \\ =\frac{-207}{8\times 10} \\ =\frac{-207}{80}=-2.5875 \end{gathered}$$

Step-2 Long division:

Hence,the quotient is $-2.5875$ and fraction in simplest form is $\frac{-207}{80}$.