Solve 5t/9- 3/4 = 1/125t/8

Evaluate

(5 \times \frac{t}{9}) - \frac{3}{4} = \frac{1}{125} \times \frac{t}{8}

Multiply the terms

\frac{5 t}{9} - \frac{3}{4} = \frac{1}{125} \times \frac{t}{8}

Multiply the terms

More Steps

\frac{5 t}{9} - \frac{3}{4} = \frac{t}{1000}

Multiply both sides of the equation by LCD

(\frac{5 t}{9} - \frac{3}{4}) \times 9000 = \frac{t}{1000} \times 9000

Simplify the equation

More Steps

5000 t - 6750 = \frac{t}{1000} \times 9000

Simplify the equation

More Steps

5000 t - 6750 = 9 t

Move the variable to the left side

5000 t - 6750 - 9 t = 0

Subtract the terms

More Steps

4991 t - 6750 = 0

Move the constant to the right side

4991 t = 0 + 6750

Removing 0 doesn't change the value,so remove it from the expression

4991 t = 6750

Divide both sides

\frac{4991 t}{4991} = \frac{6750}{4991}

Solution

t = \frac{6750}{4991}

Alternative Form

t \approx 1.352434

Solve the equation