what is 2 3/4×5=

Question

• I worked in the yard for  2 3/4 hours for 5 days what is the estimated total of hours I worked in the yard

Answer 1

There are several ways to solve this problem.  The standard way is:

1. Convert 2 3/4 into an improper fraction: 2 3/4 = 2 + 3/4 = 8/4 + 3/4 = 11/4
2. Multiply 11/4 times 5 days:  (11/4)*5 = 55/4
3. Convert 55/4 back into a mixed number to get the answer: 13³/₄ hours

 

     13

    ___

4 ) 55

    -4

    ----

      15

     -12

      ----

         3

 

Another method is to use the Distributive Law if you know it.

 

2³/₄ = 2 + 3/4

 

So:

 

5*2³/₄ = 5*(2 + 3/4) = 5*2 + 5*(3/4) = 10 + 15/4 = 10 + 3³/₄ = 13³/₄ hours