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20t\times \frac{1}{4}+20t\times \frac{1}{5}=20
Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 20t, the least common multiple of 4,5,t.
\frac{20}{4}t+20t\times \frac{1}{5}=20
Multiply 20 and \frac{1}{4} to get \frac{20}{4}.
5t+20t\times \frac{1}{5}=20
Divide 20 by 4 to get 5.
5t+\frac{20}{5}t=20
Multiply 20 and \frac{1}{5} to get \frac{20}{5}.
5t+4t=20
Divide 20 by 5 to get 4.
9t=20
Combine 5t and 4t to get 9t.
t=\frac{20}{9}
Divide both sides by 9.