Question

Find and correct the errors in the mathematical statement $\frac{4x+5}{4x}=5$

Answer 1

Find and correct errors in the given statement:

An equation is a mathematical expression of equality between two algebraic expressions that have equal values.

Given, $\frac{4x+5}{4x}=5$

On simplifying L.H.S, we get,

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

But, it is given that R.H.S $=5$

Thus, L.H .S.$\ne$ R.H.S.

So,for correct statement we need to replace $5$in RHS with $1+\frac{5}{4\mathrm{x}}$.

Hence, the correct statement is $\frac{\mathbf{4}\mathbf{x}\mathbf{+}\mathbf{5}}{\mathbf{4}\mathbf{x}}\mathbf{}\mathbf{=}\mathbf{}\mathbf{1}\mathbf{}\mathbf{+}\mathbf{}\frac{\mathbf{5}}{\mathbf{4}\mathbf{x}}$.