A rectangle is divided into a certain number of equal parts. If 16 of the parts represent the fraction \(\tfrac{1}{4}\), find the total number of equal parts into which the rectangle has been divided.
\(64\)
We are told that 16 parts together make ( frac{1}{4}) (one-fourth) of the whole rectangle.
The fraction ( frac{1}{4}) means the whole is split into 4 equal shares.
If ( frac{1}{4}) of the rectangle equals (16) parts, then the whole rectangle will be 4 times that amount.
Total parts (=) parts in one-fourth ( imes) number of fourths in a whole.
(= 16 imes 4)
(= 64)
Therefore, the rectangle is divided into (64) equal parts.
Quick check: One-fourth of (64) is ( frac{64}{4} = 16). This matches the question, so our answer is correct.