Mario broke a pane of glass in a window.The opening measured 7 and 1/4 inches by 9 and 1/2 in.At the hardware store,they sold him a pane of glass that was 7 and 1/4 inches by 9 and 1/2 inches to the nearest 1/4 inches.Can Mario be sure the glass will fit the window?And why
yes
No. The glass measures to the nearest quarter of an inch, which means the measurements could be as much as 1/8 inch too big or two small in each directions.
No. Without a zero tolerance for larger dimensions, it could be larger than the opening. A clearance (smaller size) with a zero tolerance above 7 1/8 by 9 3/8 should have been specified.
Hardware stores should be able to provide +/- 1/8" tolerance (maximum error) on cut glass.
To determine if the new pane of glass will fit the window, we need to compare the dimensions of the window opening with the dimensions of the new pane of glass.
The dimensions of the window opening are given as 7 and 1/4 inches by 9 and 1/2 inches.
Let's first convert these measurements to a common denominator of 1/4 inches.
7 and 1/4 inches can be written as 7 and 2/8 inches or 7 and 4/16 inches.
9 and 1/2 inches can be written as 9 and 2/4 inches or 9 and 4/8 inches.
So, the window opening can be written as 7 and 4/16 inches by 9 and 4/8 inches.
Now, let's compare these dimensions with the dimensions of the new pane of glass, which are also given as 7 and 1/4 inches by 9 and 1/2 inches.
These dimensions can also be converted to a common denominator of 1/4 inches.
7 and 1/4 inches can be written as 7 and 2/8 inches or 7 and 4/16 inches.
9 and 1/2 inches can be written as 9 and 2/4 inches or 9 and 4/8 inches.
So, the dimensions of the new pane of glass can be written as 7 and 4/16 inches by 9 and 4/8 inches.
By comparing the dimensions, we can see that the dimensions of the new pane of glass match exactly with the dimensions of the window opening.
Therefore, Mario can be sure that the glass will fit the window because the measurements are the same.