Question

What are equivalent ratios 5 to 3?

Answer 1

Hint: We are given a question based on equivalent ratios and we are asked to give examples of numbers where the numbers are in the ratio \[5:3\]. We can have an infinite number of examples of pairs of numbers having the ratio as \[5:3\]. We can get such examples just by multiplying a number with the ratio \[5:3\] or by dividing the ratio by a number. Hence, we will have an infinite number of equivalent ratios similar to \[5:3\].

Complete step by step solution:
According to the given question, we are given a ratio \[5:3\] and we have to find equivalent ratios similar to the given \[5:3\] ratio.
 Equivalent ratios refer to those ratios which have equal values.
For example - \[\dfrac{2}{4},\dfrac{1}{2}\] are equivalent ratios as \[\dfrac{2}{4}\] when reduced, that is when the numerator and the denominator are divided by 2, we get, \[\dfrac{1}{2}\].
If we want to find the equivalent ratios, we will have to either multiply or divide the fraction by the same number, so that the ratios are exactly the same.
We are given \[5:3\] and so we have,
Multiplying the ratio by 5, we get,
\[25:15\]
Next, if we multiply the ratio by 10, we get,
\[50:30\]
And one more, now we will multiply the ratio by 2, we now have,
\[10:6\]
So, we can see that we make infinite numbers of equivalent ratios. They may all look different but when reduced, gives the ratio \[5:3\].
Therefore, the equivalent ratios are \[25:15\], \[50:30\], \[10:6\], and so on.

Note: While creating the equivalent ratio make sure that the same number is applied or multiplied to both the numbers across the ‘:’. Also, there is no fixed number of examples for any equivalent ratios, we can multiply with number till infinity. Therefore, we can have an infinite number of equivalent ratios.