Question

Give two equivalent ratios of 6:8.

Answer 1

- Hint: To proceed the question, we will first of all convert the ratio into fraction. To do so we would just choose an integer whether negative or positive and will multiply by the chosen integer to both the numerator and the denominator

Complete step-by-step solution -

We have to find two equivalent ratios of 6:8.
To proceed the question, we will first of all convert the ratio into fraction.
Ratio 6:8 converted to fraction is given as \[\dfrac{6}{8}\].
To do so we would just choose an integer whether negative or positive and will multiply by the chosen integer to both the numerator and the denominator of the given fraction \[\dfrac{6}{8}\].
Consider randomly an integer as 2 and then we will multiply both the numerator and the denominator of the fraction given as \[\dfrac{6}{8}\] by 2.
Then doing so will give,
\[\dfrac{6(2)}{8(2)}=\dfrac{12}{16}\].
Therefore, we have one equivalent ratio of \[\dfrac{6}{8}\] given as,
\[\dfrac{12}{16}\].
Similarly, we will proceed to find the second equivalent ratio of \[\dfrac{6}{8}\].
Again, considering randomly an integer as 3 and then we will multiply both the numerator and the denominator of the fraction given as \[\dfrac{6}{8}\] by 3.
Then doing so will give,
\[\dfrac{6(3)}{8(3)}=\dfrac{18}{24}\].
Therefore, we have another equivalent ratio of \[\dfrac{6}{8}\] given as,
\[\dfrac{18}{24}\].
Hence, we obtain the equivalent ratios as \[\dfrac{12}{16}\] and \[\dfrac{18}{24}\] which is the required result.

Note: The possibility of error in these types of questions can be multiplying both different integers to the numerators and the denominator, which will lead to wrong answers. Always obtain an equivalent ratio, multiply and divide the given fraction by the same integer.