Calculation:

Equivalent ratios are two ratios which have same relationship between the numbers.

The given ratios can be simplified further by cross multiplying as:

\(\displaystyle{\frac{{{3}}}{{{7}}}}={\frac{{{18}}}{{{42}}}}\)

\(\displaystyle{3}{\left({42}\right)}={18}{\left({7}\right)}\)

\(\displaystyle{126}={126}\)

As, both the results are equal. The given ratios are equivalent.

Equivalent ratios are two ratios which have same relationship between the numbers.

The given ratios can be simplified further by cross multiplying as:

\(\displaystyle{\frac{{{3}}}{{{7}}}}={\frac{{{18}}}{{{42}}}}\)

\(\displaystyle{3}{\left({42}\right)}={18}{\left({7}\right)}\)

\(\displaystyle{126}={126}\)

As, both the results are equal. The given ratios are equivalent.