The legs on a kitchen table are 29 7/8 inches high. The top is 48 inches wide and 60 inches long and 1 5/16 inches thick. How high above the floor is the table surface? I got the answer 137 7/8 inches, but I don't think it's correct. Can I get help? Thanks.
It's not correct. That would make the table over 11 feet tall -- higher than most rooms.
Please try again.
How about 29 3/16?
No. The legs are longer than that.
How about 97 3/16 in?
Please answer!!!! Please!!!!
97 inches is over 8 feet tall. The table will reach the ceiling and then some.
Add:
29 7/8 + 1 5/16 = ?
I got 31 3/16 is that correct?
Right!
Of course! I'd be happy to help you double-check your answer.
To find the height of the table's surface, we need to add the height of the legs to the thickness of the table's top. Let's break it down step by step:
1. Convert 29 7/8 inches to an improper fraction:
Multiply the whole number (29) by the denominator (8) and add the numerator (7). This gives us 237/8 inches as the height of the legs.
2. Convert 1 5/16 inches to an improper fraction:
Multiply the whole number (1) by the denominator (16) and add the numerator (5). This gives us 21/16 inches as the thickness of the table's top.
3. Add the height of the legs and the thickness of the table's top:
To add these fractions, we need to find a common denominator. Since 8 and 16 have a common multiple of 16, we can convert both fractions to have a denominator of 16.
- Multiply the numerator and denominator of 237/8 by 2 to get 474/16 inches for the legs.
- The thickness of the table's top remains at 21/16 inches.
4. Add the two fractions together:
474/16 + 21/16 = (474 + 21) / 16 = 495/16 inches.
5. Simplify the fraction:
495/16 can be reduced further. Divide both the numerator and denominator by their greatest common divisor, which is 3 in this case.
495 ÷ 3 = 165 and 16 ÷ 3 = 5, so the simplified fraction is 165/5 inches.
6. Convert the simplified fraction back to a mixed number:
Divide the numerator (165) by the denominator (5) to get the whole number part (33), and the remainder becomes the numerator of the fraction (0).
Therefore, the height of the table's surface is 33 inches.
So, the correct answer is 33 inches.