Whether the given ratios are equivalent ratios or not. Given: The given ratios are: 37

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.

Step 1
Find the least common denominator or LCM of the two denominators:
LCM of 42 and 7 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since ${\displaystyle 42\times 1=42}$
${\displaystyle \frac{18}{42}=\frac{18\times 1}{42\times 1}=\frac{18}{42}}$
Likewise, for the 2nd fraction, since ${\displaystyle 7\times 6=42}$
${\displaystyle \frac{3}{7}=\frac{3\times 6}{7\times 6}=\frac{18}{42}}$
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
${\displaystyle \frac{18}{42}=\frac{18}{42}\text{or}\frac{18}{42}=\frac{3}{7}}$

$\frac{18}{42}=\frac{6\times 3}{6\times 7}=\frac{3}{7}$
Conclude: $\frac{3}{7}=\frac{18}{42}$
the two ratios are equivalent. If you multiply both the numerator and the denominator by 6, you will get $\frac{18}{42}.$