Equivalent ratios — lesson. Mathematics CBSE, Class 7.

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Applying the equivalent ratio method, we can determine whether the given ratios are equivalent or not.

Let's see a few steps to understand this concept.

Equivalent ratios:

Step 1: First write the given ratios in the form of fractions.

Step 2: Compare the fractions by converting into like fractions. (Take LCM if needed)

Step 3: Now if the fractions are equal, then the ratios are said to be equivalent otherwise not.

Check whether the ratios 1:4 and 4:8 are equivalent?

Step 1: Write the given ratios in the form of fractions.

\frac{1}{4} and \frac{4}{8}

Step 2: Hence the denominators 4 and 8 is not equal. We should take LCM for 4 and 8.

That is LCM of 4 and 8 is \(16\).

Then we get,

\begin{array}{l} \frac{1 \times 4}{4 \times 4} and \frac{4 \times 2}{8 \times 2} \\ \frac{4}{16} and \frac{8}{16} \end{array}

Now we can compare the ratios

\frac{4}{16} and \frac{8}{16}

Since \frac{4}{16} ≺ \frac{8}{16}

That is \(4\)\(/\)16 is lesser than 8\(/\)16.

Therefore the given ratios 1:4 and 4:8 are not equivalent.

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3. Equivalent ratios

Theory: