The performance lasts 3 hours, intermission is 3/10 of this time. How long is the intermission?

First, we need to convert the time of the performance from hours to minutes, as we know, in one hour – 60 minutes, therefore, to convert the time from hours to minutes, we need to take hours and multiply them by 60:
The performance in the theater lasted 3 * 60 = 180 minutes.
Now we need to find 3/10 of that number.
First, we look for 1/10, that is, we divide the number by the denominator of the fraction:
180: 10 = 18 minutes = 1/10.
Now, to find a number equal to 3/10, take and multiply the number equal to 1/10 by the numerator of the fraction 3/10:
18 * 3 = 54 minutes intermission lasted.
Answer: 54 minutes.