3 m of fabric was cut into shorter pieces. Each piece was $\frac{2}{5}$ m, except for the last piece which was shorter.

1. Divide the total length by the length of each piece to find the number of pieces

$3 \div \frac{2}{5} = 3 \times \frac{5}{2} = \frac{15}{2}$

2. Interpret the result to find the number of full pieces

$\frac{15}{2} = 7 \frac{1}{2}$
There are 7 full pieces of $\frac{2}{5}$ m.

1. Calculate the total length of the full pieces

Length of 7 full pieces = $7 \times \frac{2}{5} = \frac{14}{5} = 2\frac{4}{5}$ m

2. Subtract from the total length to find the length of the last piece

Length of the last piece = $3 - 2\frac{4}{5} = \frac{1}{5}$ m