Solve the following proportion x/2=8/9
x/2 = 8/9
cross multiply to obtain
9x = 16 then solve for x or
x = 16/9 = 1.77777.........repeating
rounded to the nearest tenth, x = 1.8
To solve the proportion x/2 = 8/9, we can use the method of cross-multiplication.
Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction, and then setting the two products equal to each other.
For x/2 = 8/9, we can cross-multiply as follows:
9x = 2 * 8
Simplifying the multiplication on the right side gives:
9x = 16
To isolate the variable x, we divide both sides of the equation by 9:
9x/9 = 16/9
Simplifying further:
x = 16/9
Thus, the solution to the proportion x/2 = 8/9 is x = 16/9.
To solve the proportion x/2 = 8/9, you can use cross multiplication.
First, cross multiply the terms in the proportion by multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa:
(x * 9) = (2 * 8)
This simplifies to:
9x = 16
Next, solve for x by dividing both sides of the equation by 9:
9x/9 = 16/9
This further simplifies to:
x = 16/9
So, the value of x that solves the proportion is x = 16/9.