Question

Leo is building a model. He has a board that measures 9/10 of a yard. If he cuts it into 15 equal parts, how long will each piece be?

a) 3/2 yards
b) 1/2 yard
c) 2/3 yard
d) 1/10 yard

Answer 1

Each piece of the board will be 1/10 of a yard when the board measuring 9/10 of a yard is cut into 15 equal parts. Thus, the correct answer is option (d) 1/10 yard.

Step-by-step explanation:

To determine the length of each piece when Leo cuts his board into 15 equal parts, we simply divide the length of the board by the number of parts. The board length is 9/10 of a yard. Therefore, each piece will be:

(9/10) yards / 15 = (9/10) * (1/15) yards

We can calculate this by multiplying the numerators and denominators respectively:

9 * 1 = 9

10 * 15 = 150

So, the length of each piece is 9/150 yards, which simplifies to 1/10 of a yard. If we need further clarification, we know that one yard is equal to 3 feet, so 1/10 of a yard is equal to 3/10 of a foot or 3.6 inches.

Therefore, the correct option is (d) 1/10 yard.