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(1)/(2)\implies \cfrac{25\cdot 2+1}{2}\implies \cfrac{51}{2}\\\\ 26(3)/(8)\implies \cfrac{26\cdot 8+3}{8}\implies \cfrac{211}{8} \end{cases} 26(3)/(8)\quad -\quad 25(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(3)/(8)`

Length measured by Mrs. Hernanadez is equal to
`25(1)/(2)`

Error in Measurement

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

`=26(3)/(8) -25(1)/(2)\\\\=(26 * 8+3)/(8) -(25 * 2+1)/(2)\\\\=(211)/(8)-(51)/(2)\\\\=(211 -204)/(8)\\\\=(7)/(8)`

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