if Sarah has 1/8 yard long and she has a peice of yarn that is 3 yards long, how many 1/8 yard peices can she cut and still have and 1/4 yard left
Let's simplify this a bit.
1 yard = 3 ft = 36 inches
1/4 yd = 3/4 ft = 9 ins
1/8 yd = 3/8 ft = 4.5 ins.
Sarah has a piece of yarn that is 3 yds long, which is 9 ft = 108 ins.
Sarah wants to have 1/4 yd left over, which is 9 ins.
Therefore Sarah must use at least 108 - 9 = 99 ins
Each length of yarn is to be 4.5 ins long (1/8 yd)
Number of lengths at 4.5 ins long is 99 / 4.5 = 22 (exactly)
Answer: Sarah will cut off 22 lengths of 1/8 yd
Check:
22 * 1/8 = 11 * 1/4 = 2 3/4 yds (1/4 yd short of 3 yds) <-- checks out.