Final answer:
To determine the length of Juan's music video, multiply the video clip length of 2 1/3 minutes by 1 1/2 times, which equals 3 1/2 minutes.
Step-by-step explanation:
To calculate the length of Juan's music video, we need to multiply the length of the video clip by the number of times it is played. Juan plays a 2 1/3 minute video clip 1 1/2 times. We must convert the mixed numbers into improper fractions before multiplying.
- Convert 2 1/3 to an improper fraction:
(2 × 3) + 1 = 7/3. - Convert 1 1/2 to an improper fraction:
(1 × 2) + 1 = 3/2.
Now multiply the two improper fractions:
(7/3) × (3/2) = 21/6
Finally, we simplify the fraction 21/6 by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
So, the simplified form is 7/2, which is equivalent to 3 1/2 minutes. Therefore, the length of Juan's music video is 3 1/2 minutes.