Whether the ratios 8.49.2 and 8.89.6 are equivalent ratios

Question

Tuthornt · Accepted Answer

In order to check whether the fractions

\frac{8.4}{9.2}

and

\frac{8.8}{9.6}

are equivalent or no, first reduce both the fractions in the simples form. And then check whether both fractions are equal or no.
Here observe that in the first fraction

\frac{8.4}{9.2}

, the HCF of numerator and denominator is 4. So the fraction can be simplified further dividing up and down by 4 and can be simplified as shown below.

\frac{8.4}{9.2} = \frac{2.1}{2.3}

Also observe that in the second fraction

\frac{8.8}{9.6}

the HCF of numerator and denominator is 4. So the fraction can be simplified further dividing up and down by 4 and after 4 the fraction can be simplified further dividing up and down by 3 as shown below,

\frac{8.8}{9.6} = \frac{2.2}{2.4} = \frac{1.1}{1.2}

So, in reduced form the ratios are

\frac{2.1}{2.3}

and

\frac{1.1}{1.2}

. The numerator of the first ratio is not equal to the numerator of the second, so they are not equal.
Thus, the given ratios are not equivalent.

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Whether the ratios \frac{8.4}{9.2} and \frac{8.8}{9.6} are equivalent ratios

Answered question

Answer & Explanation

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