Linda's favorite movie is 2 1/4 hours long. she watched the movie 3 times last week. how many hours did she watch the movie?

To solve this problem, we need to multiply the length of the movie (2 1/4 hours) by the number of times Linda watched the movie (3) to find out how many hours she was watching the movie.  

2 1/4 * 3

However, we should first convert 2 1/4 to an improper fraction to make our multiplication easier.  To do this, we multiply the whole number value by the denominator of the fraction and add the numerator, all while keeping the same denominator.  This is modeled below:

2 1/4 = (2*4+1)/4 = (8+1)/4 = 9/4

Now, we can substitute this equivalent value for 2 1/4 into our original expression, as follows:

2 1/4 * 3

9/4 * 3

Now, we can just multiply the fraction by the whole number.  Keep in mind that whole numbers are technically fractions over a denominator of one, so this factor should be multiplied into the numerator!

9/4 * 3 = (9*3)/4 = 27/4

To simplify this fraction, we must divide the numerator by the denominator and keep the remainder in fractional form.

27/4 = 6 remainder 3 = 6 3/4

Therefore, Linda spent 6 3/4 hours watching the movie last week.

Hope this helps!