The ratios 84/105 and 128/160 are proportional
Solution:
Given, two ratios are [tex]\frac{84}{105}[/tex] and [tex]\frac{128}{160}[/tex]
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.
[tex]\text { Then, } \frac{84}{128}=0.65625 \text { and } \frac{105}{160}=0.65625[/tex]
So numerators and denominators are in proportion, then given two fractions are proportion.
Reason 2:
Now, values of two fractions must be equal:
[tex]\rightarrow \frac{84}{105}=\frac{128}{160} \rightarrow 84 \times 160=105 \times 128 \rightarrow 13440=13440[/tex]
So, values of two fractions are equal, then they are in proportion.
Hence, the given two fractions are in proportion.
