k+35=145

A mixed number is an addition of its whole and fractional parts.

k+35=1+45

Add 1 and 45.

Write 1 as a fraction with a common denominator.

k+35=55+45

Combine the numerators over the common denominator.

k+35=5+45

Add 5 and 4.

k+35=95

k+35=95

k+35=95

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

k+3=9

Subtract 3 from both sides of the equation.

k=9-3

Subtract 3 from 9.

k=6

k=6

Solve for k (k+3)/5=1 4/5