Julia White

2021-12-30

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

kalupunangh

Expert

Calculation:
Equivalent ratios are two ratios which have same relationship between the numbers.
The given ratios can be simplified further by cross multiplying as:
$\frac{3}{7}=\frac{18}{42}$
$3\left(42\right)=18\left(7\right)$
$126=126$
As, both the results are equal. The given ratios are equivalent.

braodagxj

Expert

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 $42×1=42$
$\frac{18}{42}=\frac{18×1}{42×1}=\frac{18}{42}$
Likewise, for the 2nd fraction, since $7×6=42$
$\frac{3}{7}=\frac{3×6}{7×6}=\frac{18}{42}$
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

karton

Expert

$\frac{18}{42}=\frac{6×3}{6×7}=\frac{3}{7}$
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 $\frac{18}{42}.$

Do you have a similar question?