43. Without using any unit of length or other auxiliary means, how can you cut exactly half a meter from a piece of fabric that is $\frac{8}{15}$ m?
43. Fold the piece in half (we get $\frac{4}{15}$ m), fold the resulting piece in half again (we get $\frac{2}{15}$ m), then fold it in half once more (we get $\frac{1}{15}$ m), and finally, fold the resulting piece in half again (we get $\frac{1}{30}$ m). If we cut off this part from the piece, i.e., $\frac{8}{15}-\frac{1}{30}$, we will get $\frac{1}{2}$ m $\left(\frac{8}{15}-\frac{1}{30}=\frac{15}{30}=\frac{1}{2}\right)$.