Question
Andre is cutting fence boards from a large piece of wood 10 1/4 yards long. Each board needs to be 4/5 yard. How many boards can he cut from this piece of wood?(1 point)
To find the number of boards Andre can cut from the piece of wood, we need to divide the length of the wood by the length of each board.
Given that the piece of wood is 10 1/4 yards long, and each board is 4/5 yard long, we can set up the division:
10 1/4 ÷ 4/5
To divide fractions, we invert the second fraction and multiply:
10 1/4 × 5/4
To multiply mixed numbers, we convert them to improper fractions:
(41/4) × (5/4)
Now we can multiply the numerators and the denominators:
(41 × 5) / (4 × 4) = 205/16
The result is 205/16. However, we need to express the answer as a whole number of boards.
To do this, we divide the numerator by the denominator:
205 ÷ 16 = 12 remainder 13
Therefore, Andre can cut 12 and 13/16 boards from the piece of wood.