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
