Question

Find the quotient. Write fraction in simplest form.

$-0.18÷0.03$

Answer 1

Step 1: Conversion of decimal into fraction

$-0.18÷0.03=\frac{-18}{100}÷\frac{3}{100}$

Step 2: Change the division sign into multiplication and simplify

We know that $a÷b=a\times \frac{1}{b}$

$\begin{array}{rcl}\frac{-18}{100}÷\frac{3}{100}& =& \frac{-18}{100}\times \frac{100}{3}\\ & =& \frac{-18\times 100}{100\times 3}\\ & =& \frac{-6\times 3\times 100}{100\times 3}\\ & =& \frac{-6}{1}\\ & =& -6\end{array}$

Hence, The quotient in simplest form is $-6$.