a = 16. How did I get this? Well, 15/24 is a reducible fraction itself. When reducing the fraction 15/24, we divide the numerator and denominator by 3 to get 5/8. Now that we have 5/8 as our simplified fraction, the expression is:
10/a = 5/8
Because 10 divided by 2 equals 5, we could multiply 8 by 2 to get what our denominator that is missing would be. 8 x 2 = 16, so a = 16. 10/16 = 15/24.
Your final answer: a = 16