Question

Solve the given equation by systematic method

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

Answer 1

Solve the given equation

We have$,$

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

$\Rightarrow x+4-4=\frac{21}{4}-4$ $[$subtracting $4$ from both sides$]$

$$\begin{gathered} \Rightarrow x=\frac{21}{4}-\frac{4}{1} \\ \Rightarrow x=\frac{21-4\times 4}{4} \\ \Rightarrow x=\frac{21-16}{4} \\ \Rightarrow x=\frac{5}{4} \end{gathered}$$

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