The floor of a rectangular room is to be tiled with 1/3 foot square tiles along a 10 5/8 foot wall. How many tiles will be needed along the wall?
(10 5/8)/(1/3)= 3*(10 5/8)=30 15/8 so 32 tiles.
divide 10 5/8 by 1/3
= (85/8)(3/1) = 255/8 = 31 7/8 tiles
you will need 32 tiles.
Please answer
To find the number of tiles needed along the wall, we need to divide the length of the wall by the size of each tile.
First, let's convert the mixed number 10 5/8 into an improper fraction. To do this, multiply the whole number (10) by the denominator of the fraction (8) and add the numerator (5). Then, we put the result (85) over the denominator (8).
10 5/8 = (10 * 8 + 5) / 8 = 85/8
Now, we can divide the length of the wall, 85/8 feet, by the size of each tile, which is 1/3 foot.
(85/8) ÷ (1/3)
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we can rewrite the division as a multiplication:
(85/8) × (3/1)
Now, multiply the numerators and denominators:
(85 × 3) / (8 × 1) = 255/8
Therefore, you will need 255/8 tiles along the 10 5/8-foot wall.
Note: Since we cannot have a fractional number of tiles, we must round up to the nearest whole number. To do this, we divide the numerator by the denominator and round up if necessary.
255 ÷ 8 = 31.875
Since 31.875 rounds up to 32, you will need 32 tiles along the wall.