choose the ratio that forms a proportion with 9/10
To form a proportion with the ratio 9/10, we can choose any ratio that is equivalent to 9/10. To find an equivalent ratio, we need to multiply or divide both the numerator and denominator of 9/10 by the same number. Let's use "x" as the number to multiply or divide by:
If we multiply both the numerator and denominator of 9/10 by x, the new ratio would be (9x)/(10x).
If we divide both the numerator and denominator of 9/10 by x, the new ratio would be (9/x)/(10/x).
So, there are multiple ratios that form a proportion with 9/10. For example:
(9/10) = (18/20) = (27/30) = (36/40)
(9/10) = (9/20) = (27/60) = (45/100)
(9/10) = (18/30) = (27/45) = (36/60)
These are just a few examples, but any ratio obtained by multiplying or dividing the numerator and denominator of 9/10 by the same number will form a proportion with 9/10.
To find a ratio that forms a proportion with 9/10, we need to select another ratio in such a way that the two ratios are equivalent.
A ratio can be represented as "a:b" where "a" and "b" are numbers. To form a proportion, we need to find another ratio "c:d" such that the fractions a/b and c/d are equal.
In this case, we want to find a ratio that is equivalent to 9/10. We can choose any numbers "c" and "d" as long as their ratio is equal to 9/10. We can do this by setting up a proportion and solving for "c" and "d":
9/10 = c/d
To solve this equation, we can use cross-multiplication:
9d = 10c
Now, we can choose any value for "d" and solve for "c" using the equation above.
For example, let's choose d = 5:
9(5) = 10c
45 = 10c
c = 45/10
c = 9/2
Therefore, the ratio that forms a proportion with 9/10 is 9/2.