A wooden board is 12 feet long. If you cut the board into 1 1/2 foot sections, how many sections will you end up with?
12 / 1.5 = ?
Thanks
57
To find out how many 1 1/2 foot sections you will end up with when you cut a 12-foot wooden board, divide the total length of the board by the length of each section.
First, we need to convert everything to the same unit. Since the given length of the board is 12 feet, we need to convert 1 1/2 feet into a decimal number.
To convert the mixed number 1 1/2 into a decimal, we can add 1 and 1/2 together:
1 + 1/2 = 2/2 + 1/2 = 3/2.
Now, we can divide the length of the board by the length of each section:
12 feet ÷ (3/2) feet.
To divide by a fraction, we can multiply by the reciprocal of the fraction:
12 feet × (2/3) feet.
Multiplying the numerators (top numbers) together and multiplying the denominators (bottom numbers) together, we get:
(12 × 2) feet ÷ 3 feet.
This simplifies to:
24 feet ÷ 3 feet.
Dividing 24 feet by 3 feet, we get the number of sections:
24 ÷ 3 = 8.
Therefore, when you cut a 12-foot wooden board into 1 1/2 foot sections, you will end up with 8 sections.