Question

Evaluate the expression. Write fraction in simplest form.

$-0.42÷0.8+0.2$

Answer 1

Given $-0.42÷0.8+0.2$

$$\begin{gathered} =(-0.42÷0.8)+0.2 \\ =\left(\frac{-42}{100}÷\frac{8}{10}\right)+0.2 \end{gathered}$$

$a÷b=a\times \frac{1}{b}$

$$\begin{gathered} =\left(\frac{-42}{100}\times \frac{10}{8}\right)+0.2 \\ =\left(\frac{-21}{40}\right)+\frac{2}{10} \\ =\left(\frac{-21}{40}\right)+\frac{2}{10}\times \frac{4}{4} \\ =\left(\frac{-21}{40}\right)+\frac{8}{40} \end{gathered}$$

Add the numerators of fractions with same denominator

$$\begin{gathered} =\frac{-21+8}{40} \\ =\frac{-13}{40} \end{gathered}$$

Final Answer: The value of expression in simplest form is $\frac{-13}{40}$.