Question

Simply the following 5 1/3 -7 5/6 + 6 1/4

Answer 1

`3 (3)/(4)\\` / 3.75

Explanation:

Step 1: Make all the mixed numbers, improper fractions:

`5 (1)/(3) = (16)/(3)`

`7(5)/(6) = (47)/(6)`

`6(1)/(4) =(25)/(4)`

In order to add/subtract fractions, they must all have a common denominator, the smallest common denominator for all these fractions is 12. And so in order to make 12 the denominator, we must now multiply all the fractions by their multiple.

`(16)/(3) = (64)/(12)`

`(47)/(6) = (94)/(12)`

`(25)/(4) = (75)/(12)`

Time to solve:

`(64)/(12) -(94)/(12) + (75)/(12) =`

`(-30)/(12) + (75)/(12) =`

`(45)/(12)`

Simplify:

`(45)/(12) = (15)/(4)`

Convert to a mixed number:

`3 (3)/(4)`

Hope this helps!