Question

Evaluate the expression. Write fraction in simplest form.

$2.85÷6.2÷2^2$

Answer 1

Evaluating the expression

First, write $2^2$ as continued multiplication

$$\begin{gathered} 2.85–6.2÷\left(2\right)\left(2\right) \\ =2.85-6.2÷4 \end{gathered}$$

Since, $a÷b=a\times \frac{1}{b}$.

Therefore,

$\begin{array}{rcl}2.85-6.2÷4& =& 2.85-\left(6.2\times \frac{1}{4}\right)\\ & =& \frac{285}{100}-\frac{62}{40}\\ & =& \frac{285}{100}\times \frac{2}{2}-\frac{62}{40}\times \frac{5}{5}\\ & =& \frac{570}{200}-\frac{310}{200}=\frac{260}{200}\end{array}$

Now, to convert in simplest form cancel out the common factor of numerator & denominator.

$\frac{260}{200}=\frac{13\times 20}{10\times 20}=\frac{13}{10}$

Hence, the value of given expression in simplest form is $\frac{13}{10}$.