Question

Write a proportion for each of the following equations and perform all changes: a 2·9=3·6

Answer 1

$\boxed{\frac{2}{3}=\frac{6}{9}}$

Step-by-step explanation:

The equation we are given is the following:

$2\cdotp9=3\cdotp6$

A proportion is a relationship between two ratios. This tells us that two ratios are equal. That is, suppose you have two ratios:

$(1) \ \frac{a}{b} \\ \\ (2) \ \frac{c}{d}$

Then, we can write a proportion as follows:

$\frac{a}{b}=\frac{c}{d}$

For:

$2\cdotp9=3\cdotp6$

If you divide both sides by (3)(9):

$\frac{1}{3\cdotp9}(2\cdotp9)=\frac{1}{3\cdotp9}(3\cdotp6) \\ \\ \boxed{\frac{2}{3}=\frac{6}{9}}$

Learn more:

Constant of proportionality: brainly.com/question/13742796#

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