John must mount a box which is 12 5/8 inches wide. He wants to leave 7 1/2 inches on each side of the box. How much space across will John need?
2 * 7 1/2 = 15
12 5/8 + 15 = 27 5/8
John must mount a box which is 125/8 inches wide. He wants to leave 71/2 inches on each side of the box. How much space across will John need?
Well, John's box will have 7 1/2 inches on each side, which means it'll have a total of 7 1/2 + 7 1/2 = 15 inches of space left for it to fit in. So, across-wise, John will need 15 inches of space. That's plenty of room for his box to make itself at home without feeling cramped.
To find out how much space John will need across, we need to calculate the total width including the box and the space on each side.
First, let's calculate the space on each side:
7 1/2 inches on each side = 7 1/2 + 7 1/2 = 15 inches
Now, let's add the space on each side to the width of the box:
Width of the box = 12 5/8 inches
Total width needed = Width of the box + (Space on each side x 2)
Total width needed = 12 5/8 + (15 x 2)
Total width needed = 12 5/8 + 30
Total width needed = 12 5/8 + 30/1 (to make the fractions have the same denominator)
Total width needed = (12 x 1 + 5) / 8 + 30/1
Total width needed = (12 + 5) / 8 + 30/1
Total width needed = 17 / 8 + 30/1
Total width needed = (17 + 240)/8
Total width needed = 257 / 8
Therefore, John will need a space across of 32 1/8 inches.
To find out how much space John will need across, we need to calculate the total width of the box plus the space on each side.
First, let's convert the mixed numbers into improper fractions:
- The width of the box is 12 5/8 inches. Converting this to an improper fraction, we have:
12 5/8 = (8 * 12 + 5)/8 = 101/8 inches.
- The space on each side is 7 1/2 inches. Converting this to an improper fraction, we have:
7 1/2 = (2 * 7 + 1)/2 = 15/2 inches.
Now, let's add the width of the box to two times the space on each side:
101/8 + 2 * 15/2 = 101/8 + 30/2 = 101/8 + 60/8 = 161/8 inches.
Therefore, John will need 161/8 inches of space across.