Julia White

2021-12-30

Whether the given ratios are equivalent ratios or not.

Given:

The given ratios are:

$\frac{3}{7}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\frac{18}{42}$

Given:

The given ratios are:

kalupunangh

Beginner2021-12-31Added 29 answers

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.

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

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

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

braodagxj

Beginner2022-01-01Added 38 answers

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$42\times 1=42$

$\frac{18}{42}=\frac{18\times 1}{42\times 1}=\frac{18}{42}$

Likewise, for the 2nd fraction, since$7\times 6=42$

$\frac{3}{7}=\frac{3\times 6}{7\times 6}=\frac{18}{42}$

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

$\frac{18}{42}=\frac{18}{42}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\frac{18}{42}=\frac{3}{7}$

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

Likewise, for the 2nd fraction, since

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

karton

Expert2022-01-04Added 613 answers

Conclude:

the two ratios are equivalent. If you multiply both the numerator and the denominator by 6, you will get

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