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 whole, equal-sized boards can he cut form this piece of wood?
1 answer
To find out how many whole boards can be cut from the large piece of wood, divide the length of the large piece of wood by the length of each board: $10\frac{1}{4}\div 4/5=\frac{41}{4}\div \frac{4}{5}=\frac{41}{4}\cdot \frac{5}{4}=\frac{205}{16}=12\frac{13}{16}$. Andre can cut $\boxed{12}$ whole boards from the large piece of wood.