Solve for t 4/5+1/4t=3/5

$\frac{4}{5} + \frac{1}{4} t = \frac{3}{5}$

Step 1

Combine $\frac{1}{4}$ and $t$ .

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

Step 2

Move all terms not containing $t$ to the right side of the equation.

Subtract $\frac{4}{5}$ from both sides of the equation.

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

Combine the numerators over the common denominator.

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

Subtract $4$ from $3$ .

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

Move the negative in front of the fraction.

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

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{t}{4} = 4 (- \frac{1}{5})$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{t}{4} = 4 (- \frac{1}{5})$

Rewrite the expression.

$t = 4 (- \frac{1}{5})$

Simplify the right side.

Simplify $4 (- \frac{1}{5})$ .

Multiply $4 (- \frac{1}{5})$ .

Multiply $- 1$ by $4$ .

$t = - 4 (\frac{1}{5})$

Combine $- 4$ and $\frac{1}{5}$ .

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

Move the negative in front of the fraction.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$t = - 0.8$