Question

Which statement would be the most important in explaining why 2/3=6/9
?

A square is shown and divided into 9 equal-sized squares of 3 rows and 3 columns. The first two columns are shaded.

(1 point)
Responses

6 of the 9 same-sized squares are shaded and therefore represent 2/3
.

6 of the 9 same-sized squares are shaded and therefore represent 2/ 3 .

6 of the 9 same-sized squares are shaded and therefore represent 6/9
.

6 of the 9 same-sized squares are shaded and therefore represent 6/ 9 .

The shaded area represents both 2/3
and 6/9
of the whole shape.

The shaded area represents both 2 /3 and 6 /9 of the whole shape.

2 of the 3 columns are shaded and therefore represent 6/9
.

Answer 1

The most important statement in explaining why \( \frac{2}{3} = \frac{6}{9} \) is:

**The shaded area represents both \( \frac{2}{3} \) and \( \frac{6}{9} \) of the whole shape.**

This statement effectively communicates that both fractions represent the same part of the whole (the shaded area), which is crucial for understanding the equality between the two fractions.