Hi there! The answer is C.
Step-by-step explanation:
We have the following equation:
![(8)/(15) = (x)/(6)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/jnq5u5zxf02fmvtzrz8mqzyus8fh423c83.png)
To solve this type of equation (with an x in the denominator of a fraction) we must cross-multiply the numerator and the denominator.
![15 * x = 8 * 6](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9n164rrzyxo19cwkgmtclt28dxq4t0valf.png)
Multiply
![15x = 40](https://img.qammunity.org/2019/formulas/mathematics/middle-school/n2dn8wtkc2pvxxyd4v0gf24wxi0j95k6c4.png)
Divide both sides by 15.
![x = (40)/(15) = 2 (2)/(3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7v4znp2ggx678o62dxnuzjvn05sgs50ifz.png)
~ Hope this helps you!