a/10 = (a/b) * (b/10) = (10/7) * (b/10) = b/7
To solve for b, we can start by multiplying both sides of the equation by 10:
(a/10) * 10 = (b/7) * 10
This simplifies to:
a = (b/7) * 10
Next, we can rewrite (b/7) * 10 as (10/7) * b:
a = (10/7) * b
Finally, to isolate b, we can multiply both sides by 7/10:
(a * 7/10) = (10/7) * b * (7/10)
This simplifies to:
(7a/10) = b/7
And, rearranging the equation:
b = (7a/10) * 7
b = 49a/10
So, the value of b is 49a/10.