Solve 1/5+1/t=1

$$\frac { 1 } { 5 } + \frac { 1 } { t } = 1$$

Solve for t

$$t = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5t, the least common multiple of 5,t.

$$5t\times \frac{1}{5}+5=5t$$

Cancel out 5 and 5.

$$t+5=5t$$

Subtract 5t from both sides.

$$t+5-5t=0$$

Combine t and -5t to get -4t.

$$-4t+5=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$-4t=-5$$

Divide both sides by -4.

$$t=\frac{-5}{-4}$$

Fraction \frac{-5}{-4} can be simplified to \frac{5}{4} by removing the negative sign from both the numerator and the denominator.

$$t=\frac{5}{4}$$