Question

Which fraction is equivalent to 6/18

3/4
2/9
2/3
3/9

Answer 1

To determine which fraction is equivalent to \( \frac{6}{18} \), we can simplify \( \frac{6}{18} \).

1. Find the greatest common divisor (GCD) of 6 and 18, which is 6.
2. Divide both the numerator and the denominator by their GCD:

\[
\frac{6 \div 6}{18 \div 6} = \frac{1}{3}
\]

Now, we need to check which of the provided fractions is equivalent to \( \frac{1}{3} \).

- \( \frac{3}{4} \) is not equivalent to \( \frac{1}{3} \).
- \( \frac{2}{9} \) is not equivalent to \( \frac{1}{3} \).
- \( \frac{2}{3} \) is not equivalent to \( \frac{1}{3} \).
- \( \frac{3}{9} \) can be simplified as follows:

\[
\frac{3 \div 3}{9 \div 3} = \frac{1}{3}
\]

Thus, the fraction that is equivalent to \( \frac{6}{18} \) is:

\(\frac{3}{9}\).