Mrs. Hernanadez is covering the top of a kitchen shelf that is 26 3/8. She incorrectly measures the length to be 25 1/2 inches long. How will this error affect her calculations?

Respuesta :

[tex]\bf \begin{cases} 25\frac{1}{2}\implies \cfrac{25\cdot 2+1}{2}\implies \cfrac{51}{2}\\\\ 26\frac{3}{8}\implies \cfrac{26\cdot 8+3}{8}\implies \cfrac{211}{8} \end{cases} 26\frac{3}{8}\quad -\quad 25\frac{1}{2}\implies \cfrac{211}{8}-\cfrac{51}{2} \\\\\\ LCD\implies 8\implies \cfrac{211-204}{8}\implies \boxed{\cfrac{7}{8}}[/tex]

Answer with explanation:

Length of Kitchen Shelf is equal to [tex]26\frac{3}{8}[/tex]

Length measured by  Mrs. Hernanadez is equal to [tex]25\frac{1}{2}[/tex]

Error in Measurement

       =Actual Length of Kitchen Shelf -  Length measured by  Mrs. Hernanadez

  [tex]=26\frac{3}{8} -25\frac{1}{2}\\\\=\frac{26 \times 8+3}{8} -\frac{25 \times 2+1}{2}\\\\=\frac{211}{8}-\frac{51}{2}\\\\=\frac{211 -204}{8}\\\\=\frac{7}{8}[/tex]

Her calculation is affected by a Length of 0.875 inches.

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