Final answer:
To raise the fraction 2/5 to its highest terms in the proportion 2/5 = ?/30, set up a proportion by setting the two ratios equal to each other. Cross-multiply and solve for the missing numerator. The missing numerator in this case is 12, so the fraction in its highest terms is 12/30.
Step-by-step explanation:
To raise the fraction 2/5 to its highest terms in the proportion 2/5 = ?/30, we need to find the missing numerator. To do this, we can set up a proportion by setting the two ratios equal to each other: 2/5 = x/30. Then, we can cross-multiply and solve for x: 2 x 30 = 5 x. This simplifies to 60 = 5x. Divide both sides by 5 to isolate x and find that x = 12. Therefore, the missing numerator is 12, and the fraction in its highest terms is 12/30.