Solve for t (t+2)/2-1/4=1

$\frac{t + 2}{2} - \frac{1}{4} = 1$

Simplify $\frac{t + 2}{2} - \frac{1}{4}$ .

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To write $\frac{t + 2}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{t + 2}{2} \cdot \frac{2}{2} - \frac{1}{4} = 1$

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{t + 2}{2}$ and $\frac{2}{2}$ .

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

Multiply $2$ by $2$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Apply the distributive property.

$\frac{t \cdot 2 + 2 \cdot 2 - 1}{4} = 1$

Move $2$ to the left of $t$ .

$\frac{2 \cdot t + 2 \cdot 2 - 1}{4} = 1$

Multiply $2$ by $2$ .

$\frac{2 \cdot t + 4 - 1}{4} = 1$

Subtract $1$ from $4$ .

$\frac{2 t + 3}{4} = 1$

Multiply both sides of the equation by $4$ .

$2 t + 3 = 1 \cdot (4)$

Remove parentheses.

$2 t + 3 = 1 \cdot (4)$

Multiply $4$ by $1$ .

$2 t + 3 = 4$

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

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Subtract $3$ from both sides of the equation.

$2 t = 4 - 3$

Subtract $3$ from $4$ .

$2 t = 1$

Divide each term by $2$ and simplify.

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Divide each term in $2 t = 1$ by $2$ .

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

Cancel the common factor of $2$ .

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Cancel the common factor.

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

Divide $t$ by $1$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$t = 0.5$

Solve for t (t+2)/2-1/4=1

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