Question

Solve the given equation by systematic method$:$

$x+3=4\frac{1}{5}$

Answer 1

Solve the given equation

We have$,$

$$\begin{gathered} x+3=4\frac{1}{5} \\ \Rightarrow x+3=\frac{4\times 5+1}{5} \\ \Rightarrow x+3=\frac{21}{5} \end{gathered}$$

$\Rightarrow$$x+3-3=\frac{21}{5}-3$ $[$ subtract $3$ from both sides $]$

$$\begin{gathered} \Rightarrow x=\frac{21}{5}-\frac{3}{1} \\ \Rightarrow x=\frac{21}{5}-\frac{3\times 5}{1\times 5} \\ \Rightarrow x=\frac{21}{5}-\frac{15}{5} \\ \Rightarrow x=\frac{21-15}{5} \\ \Rightarrow x=\frac{6}{5} \end{gathered}$$

Hence, the solution of the equation $x+3=4\frac{1}{5}$ is $x=\frac{6}{5}$