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How is this equation true?4/4 * x/1 + 1/4 = 4x/4 + 1/4 = 4x+1/4

Sagot :

Given

[tex]\frac{4}{4}*\frac{x}{1}+\frac{1}{4}[/tex]

Simplify as shown below,

[tex]\begin{gathered} \frac{4}{4}*\frac{x}{1}+\frac{1}{4}=\frac{4*x}{4*1}+\frac{1}{4} \\ =\frac{4x}{4}+\frac{1}{4} \\ =\frac{4}{4}*x+\frac{1}{4} \\ =1*x+\frac{1}{4} \\ =x+\frac{1}{4} \end{gathered}[/tex]

If the initial equation is correct, the last equality in the question tab is incorrect. The simplification is x+1/4, not 4x+1/4.