How do you solve 11/10=r/11?

2 Answers
Sonnhard
May 24, 2018

r=121/10

Explanation:

Multiplying by 11 we get
121/10=r

Ben
May 24, 2018

Divide both sides by r's coefficient and you have your answer:
r=121/10=12.1

Explanation:

Making this easy, we want to know what r is. Currently, we know the value of r/11, so it would stand to make sense that we need to divide both sides by r's coefficient (1/11), which is the same as multiplying by its inverse, 11:

11/10xxcolor(red)(11)=r/11xxcolor(red)(11)

(11xxcolor(red)(11))/10=(color(red)(cancel(11))r)/cancel(11)

color(green)(r=121/10=12.1)

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