Question

Please help :)

Answer 1

The ratios 84/105 and 128/160 are proportional

Solution:

Given, two ratios are $\frac{84}{105}$ and $\frac{128}{160}$

We have to give two different reasons to support the answer.

Reason 1:

Now, we know that, numerators and denominators should be proportional to be two fractions in proportion.

$\text { Then, } \frac{84}{128}=0.65625 \text { and } \frac{105}{160}=0.65625$

So numerators and denominators are in proportion, then given two fractions are proportion.

Reason 2:

Now, values of two fractions must be equal:

$\rightarrow \frac{84}{105}=\frac{128}{160} \rightarrow 84 \times 160=105 \times 128 \rightarrow 13440=13440$

So, values of two fractions are equal, then they are in proportion.

Hence, the given two fractions are in proportion.