Solve for t 4(t+1/4)=3

$4 (t + \frac{1}{4}) = 3$

Simplify.

Apply the distributive property.

$4 t + 4 (\frac{1}{4}) = 3$

Cancel the common factor of $4$ .

Cancel the common factor.

$4 t + 4 (\frac{1}{4}) = 3$

Rewrite the expression.

$4 t + 1 = 3$

Divide each term in $(4 t + 1) = 3$ by $4$ .

$\frac{(4 t + 1)}{4} = \frac{3}{4}$

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$4 t + 1 = 3$

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

Subtract $1$ from both sides of the equation.

$4 t = 3 - 1$

Subtract $1$ from $3$ .

$4 t = 2$

Divide each term in $4 t = 2$ by $4$ and simplify.

Divide each term in $4 t = 2$ by $4$ .

$\frac{4 t}{4} = \frac{2}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 t}{4} = \frac{2}{4}$

Divide $t$ by $1$ .

$t = \frac{2}{4}$

Simplify the right side.

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$t = \frac{2 (1)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$t = \frac{2 \cdot 1}{2 \cdot 2}$

Cancel the common factor.

$t = \frac{2 \cdot 1}{2 \cdot 2}$

Rewrite the expression.

$t = \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$t = \frac{1}{2}$

Decimal Form:

$t = 0.5$