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To make a music video, Juan plays 2 1/3 video clip 1 1/2 Times. How long is Juans music video?

User Kelvin Hu
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2 Answers

3 votes

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:

  • 21 ÷ 3 = 7
  • 6 ÷ 3 = 2

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.

User Jeahel
by
8.5k points
1 vote
1/3=2/6
1/2=3/6
2 2/6*1 3/6=

(2*1) + (2/6*3/6)=

3
User Hmartinezd
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7.6k points