Tiffani got her new weekly course schedule for her classes at the Florida Community College. The following are the classes and their length: Business Math


2 1/2hours,
Introduction to Animation 1 1/2

hours, Project and Portfolio 2 1/4

hours, Basic Keyboarding 1 3/4

hours and Introduction to Digital Marketing 1 3/4

hours.

How many hours will she be in class each week?

1 answer

To find out how many hours Tiffani will be in class each week, we need to add the lengths of all her classes together. Let's convert the mixed fractions to improper fractions and then add them up.

  1. Business Math: 2 1/2 hours = \( 2 + \frac{1}{2} = \frac{5}{2} \) hours
  2. Introduction to Animation: 1 1/2 hours = \( 1 + \frac{1}{2} = \frac{3}{2} \) hours
  3. Project and Portfolio: 2 1/4 hours = \( 2 + \frac{1}{4} = \frac{9}{4} \) hours
  4. Basic Keyboarding: 1 3/4 hours = \( 1 + \frac{3}{4} = \frac{7}{4} \) hours
  5. Introduction to Digital Marketing: 1 3/4 hours = \( 1 + \frac{3}{4} = \frac{7}{4} \) hours

Now let's add them together:

\[ \frac{5}{2} + \frac{3}{2} + \frac{9}{4} + \frac{7}{4} + \frac{7}{4} \]

First, we'll find a common denominator for these fractions. The smallest common denominator for 2 and 4 is 4.

Now, let's convert the fractions:

  • \( \frac{5}{2} = \frac{10}{4} \)
  • \( \frac{3}{2} = \frac{6}{4} \)
  • \( \frac{9}{4} \) remains the same
  • \( \frac{7}{4} \) remains the same
  • \( \frac{7}{4} \) remains the same

Now adding these fractions:

\[ \frac{10}{4} + \frac{6}{4} + \frac{9}{4} + \frac{7}{4} + \frac{7}{4} = \frac{10 + 6 + 9 + 7 + 7}{4} = \frac{39}{4} \]

Now let's convert \( \frac{39}{4} \) to a mixed number:

\[ 39 \div 4 = 9 \text{ R } 3 \]

So, \( \frac{39}{4} = 9 \frac{3}{4} \).

Thus, Tiffani will be in class for a total of 9 3/4 hours each week.