Question

two students draw shaded figures to represent the fraction \\(\frac{1}{6}\\).

remis figure: a rectangle divided into 6 equal parts (2 columns, 3 rows) with 1 part shaded.
nikos figure: a circle divided into 4 equal parts (2 columns, 2 rows) with 1 part shaded.

which statement is true?
a. neither remi nor niko is correct.
b. only niko is correct.
c. only remi is correct.
d. both remi and niko are correct.

Explanation:

Step1: Analyze Remi's figure

Remi's figure is a rectangle divided into 6 equal parts (3 rows and 2 columns), and 1 part is shaded. So the fraction of the shaded part is $\frac{1}{6}$, which matches the given fraction.

Step2: Analyze Niko's figure

Niko's figure is a circle, but it is not divided into 6 equal parts. The divisions are not equal (the "slices" are not all the same size), so the shaded part does not represent $\frac{1}{6}$.

Step3: Determine the correct statement

Since only Remi's figure correctly represents $\frac{1}{6}$ (Niko's does not), the true statement is that only Remi is correct.

Answer:

C. Only Remi is correct.