given the proportion a/b=8/15, what ratio completes the equivilant proportion a/8=? explain
To determine the ratio that completes the equivalent proportion a/8, we can use the given proportion a/b = 8/15.
We want to find a ratio that has a as the numerator and 8 as the denominator.
To do this, we can set up a proportion with a/x (where x is the missing value) equivalent to a/b = 8/15.
Hence, a/x = 8/15.
Now, to solve for x, we can cross-multiply:
15a = 8x.
To isolate the x variable, we divide both sides of the equation by 8:
(15a)/8 = x.
Simplifying:
x = 15a/8.
Thus, the ratio that completes the equivalent proportion a/8 is 15a/8.