Final answer:
To solve the equation 30/4 = m/6, we cross-multiply and simplify to find that m = 45.
Step-by-step explanation:
To solve for m in the equation 30/4 = m/6, we can use cross-multiplication. We multiply both sides of the equation by the denominators to eliminate them. In this case, multiply both sides by 4 and by 6 to get:
6 × 30 = 4 × m
Next, perform the multiplication on both sides:
180 = 4m
Now, divide both sides by 4 to solve for m:
m = 180/4
Finally, simplify the division:
m = 45