Seven-ninths of the students surveyed like to participate in extra curricular activities after school. Which decimal is equivalent to the fraction of students who like to participate in activities after school?

Question

0.7
0.7¯
0.78¯¯¯¯
0.79

Answer 1

To convert the fraction \( \frac{7}{9} \) into a decimal, you can perform the division:

1. Divide 7 by 9.

When you do the division, you get:

\[ 7 ÷ 9 = 0.77777... \]

This is a repeating decimal, which can be expressed as \( 0.7\overline{7} \) (where the line over the 7 indicates that it repeats indefinitely).

So, the decimal equivalent of the fraction \( \frac{7}{9} \) is \( 0.7\overline{7} \).

The correct answer from the options provided is:

0.7¯