Solve 4/5+5/t=3

$$\frac { 4 } { 5 } + \frac { 5 } { t } = 3$$

Solve for t

$$t = \frac{25}{11} = 2\frac{3}{11} \approx 2.272727273$$

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.

$$5t\times \frac{4}{5}+5\times 5=15t$$

Cancel out 5 and 5.

$$4t+5\times 5=15t$$

Multiply 5 and 5 to get 25.

$$4t+25=15t$$

Subtract 15t from both sides.

$$4t+25-15t=0$$

Combine 4t and -15t to get -11t.

$$-11t+25=0$$

Subtract 25 from both sides. Anything subtracted from zero gives its negation.

$$-11t=-25$$

Divide both sides by -11.

$$t=\frac{-25}{-11}$$

Fraction \frac{-25}{-11} can be simplified to \frac{25}{11} by removing the negative sign from both the numerator and the denominator.

$$t=\frac{25}{11}$$