How much do you have to add to 3/2 to make it equal to the sum of 11/5 and 4 1/2?

Step-by-step explanation:

sum is addition

3/2+x=11/5+4 1/2

get x alone by using opposite operation to get 3/2 on other side of equal sign

3/2 is being added to x, so the opposite is subtracting

3/2-3/2+x=11/5+4 1/2-3/2

3/2 cancels out on the left

x=11/5+4 1/2-3/2

need same denominator, all denominators are factors of 10

2×5

multiply top and bottom of each fraction to get denominator of 10

(11/5)*(2/2)

(4/1)*(10/10) and (1/2)*(5/5)

(3/2)*(5/5)

multiply top and bottom and add

x=(22/10)+(4/10)+(5/10)-(15/10)

add all numerators

x=(22+4+5-15)/10

x=16/10

now simplifydivide by 2 on top and bottom

x=(16/10)÷(2/2)

x=8÷5

5/5 is 1, and there is 3/5 left

so x=1 3/5