Question

Simplify -5 1/4 - (-7 1/2)

Answer 1

`=2(1)/(4)`

Explanation:

In order to simplify the given equation we will need to convert the mixed numbers into improper fractions and then apply KCC (Keep, Change, Change).



`-5(1)/(4) -(-7(1)/(2) )`
Convert mixed numbers into improper fractions:

`5(1)/(4) =5*4+1=(21)/(4)`

`7(1)/(2) =2*7+1=(15)/(2)`

`-(21)/(4) -(-(15)/(2))`
Apply KCC:

`-(21)/(4) -(-(15)/(2))=-(21)/(4) +(15)/(2)`
Solve by finding the common denominator:

`-(21)/(4) +(15)/(2)=(9)/(4)`
Convert the improper fraction into a mixed number:

`(9)/(4) =9/4=2(1)/(4)`

`=2(1)/(4)`

Therefore your answer is 2 1/4.

I hope this helps.