Mrs. Peterson is going to install new baseboard in her living room, family room, and dining room. The total length of baseboard needed is 60 yards. If Mrs. Peterson buys 2 2/3 yard long baseboards, how many pieces will she need? If she buys 3 1/3 yard long baseboards, how many pieces will she need?(1 point)
To find the number of pieces she will need for 2 2/3 yard long baseboards, divide the total length needed by the length of each piece: 60 yards / (2 2/3) yards = 60 / (8/3) = 60 * 3/8 = 180/8 = <<60*3/8=22.5>>22.5 pieces.
Since she can't have half a piece, she will need to round up to the nearest whole number, so she will need 23 pieces.
To find the number of pieces she will need for 3 1/3 yard long baseboards, divide the total length needed by the length of each piece: 60 yards / (3 1/3) yards = 60 / (10/3) = 60 * 3/10 = 180/10 = <<60*3/10=18>>18 pieces. Answer: \boxed{18}.