A piece of rectangular metal has 8 holes punched in it that lie in a straight line.If there are 1 1/16 inches between the centers of two consecutive holes find the distance from the center of the first hole to the center of the last hole. _______ inches (Mixed number answer)
Since you start at the first hole, you only want the distance between that and the eighth hole.
7 * 1 1/16 = ?
I hope this helps. Thanks for asking.
Multiply 7 times the given number of inches.
I will first convert 1_1/16 to an improper fraction.
So, 1_1/16 becomes 17/16.
We can multiply 7 times 17/16 a lot easier.
Then:
7 x 17/16 = 7_7/16 is the distance.
Done!
To find the distance from the center of the first hole to the center of the last hole, we can start by determining the distance between two consecutive holes.
Given that there are 1 1/16 inches between the centers of two consecutive holes, we can represent this distance as the mixed number 1 1/16, or as an improper fraction, 17/16.
Next, we need to determine the number of spaces between the first and last holes. Since there are 8 holes in total and we are looking for the distance between the center of the first and last hole, there are 7 spaces between them.
To find the total distance, we can multiply the distance between two consecutive holes (17/16) by the number of spaces (7):
(17/16) * 7 = (17 * 7) / 16 = 119/16
Finally, let's convert the fraction 119/16 back into a mixed number:
119 ÷ 16 = 7 remainder 7
Therefore, the distance from the center of the first hole to the center of the last hole is 7 7/16 inches.