Final answer:
To determine how many 1/4 yard pieces Sally can cut from 2/3 yards of tie, divide 2/3 by 1/4 to get 8/3, which indicates she can cut 2 full pieces with some material left over.
Step-by-step explanation:
If Sally has 2/3 yards of ties and wants to cut them into pieces, each piece being 1/4 yard, to find out how many pieces she can cut, we'll need to divide the total length of ties by the length of each piece. Here is a step-by-step explanation:
- First, express Sally's total ties as a fraction: 2/3 yard.
- Next, understand that each piece is to be 1/4 yard long.
- To find out how many pieces of 1/4 yard can be made from 2/3 yard, divide 2/3 by 1/4.
- To divide fractions, invert the divisor (1/4) to become 4/1 and multiply it with 2/3: (2/3) × (4/1).
- Multiplying these fractions, we get (2 × 4) / (3 × 1), which equals 8/3.
- Finally, since we cannot have a fraction of a piece, we will only consider the whole number part of the fraction which is 2, as 8/3 equals 2 with a remainder. So, Sally can cut 2 whole pieces, with some tie material left over.
Therefore, Sally can cut exactly 2 full pieces of tie each 1/4 yard long from her 2/3 yards of tie material.