determine fractions equivalent to 7/3,9/2,17/10 and 29/6, simultaneously whose denominator is 30

1. We need to find equivalent fractions of \frac{7}{3}, \frac{9}{2}, \frac{17}{10}, and \frac{29}{6} with the denominator of 30.

2. Since the goal is to get a common denominator, we can multiply both the numerator and denominator of each fraction by an appropriate number to get the denominator as 30.

For \frac{7}{3}:
\frac{7}{3} \cdot \frac{10}{10} = \frac{70}{30}

For \frac{9}{2}:
\frac{9}{2} \cdot \frac{15}{15} = \frac{135}{30}

For \frac{17}{10}:
\frac{17}{10} \cdot \frac{3}{3} = \frac{51}{30}

For \frac{29}{6}:
\frac{29}{6} \cdot \frac{5}{5} = \frac{145}{30}

3. Hence, the fractions equivalent to \frac{7}{3}, \frac{9}{2}, \frac{17}{10}, and \frac{29}{6} with denominator 30 are:

\frac{70}{30}, \frac{135}{30}, \frac{51}{30}, \frac{145}{30}