Question

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?

Answer 1

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

Answer 2

Answer with explanation:

Length of Kitchen Shelf is equal to $26\frac{3}{8}$

Length measured by  Mrs. Hernanadez is equal to $25\frac{1}{2}$

Error in Measurement

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

  $=26\frac{3}{8} -25\frac{1}{2}\\\\=\frac{26 \times 8+3}{8} -\frac{25 \times 2+1}{2}\\\\=\frac{211}{8}-\frac{51}{2}\\\\=\frac{211 -204}{8}\\\\=\frac{7}{8}$

⇒Her calculation is affected by a Length of 0.875 inches.