Evaluate h(t)=50-t/5

$h (t) = 50 - \frac{t}{5}$

Step 1

Divide each term in $h t = 50 - \frac{t}{5}$ by $t$ .

$\frac{h t}{t} = \frac{50}{t} + \frac{- \frac{t}{5}}{t}$

Step 2

Simplify the left side.

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{h t}{t} = \frac{50}{t} + \frac{- \frac{t}{5}}{t}$

Divide $h$ by $1$ .

$h = \frac{50}{t} + \frac{- \frac{t}{5}}{t}$

Step 3

Simplify the right side.

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

$h = \frac{50}{t} - \frac{t}{5} \cdot \frac{1}{t}$

Cancel the common factor of $t$ .

Move the leading negative in $- \frac{t}{5}$ into the numerator.

$h = \frac{50}{t} + \frac{- t}{5} \cdot \frac{1}{t}$

Factor $t$ out of $- t$ .

$h = \frac{50}{t} + \frac{t \cdot - 1}{5} \cdot \frac{1}{t}$

Cancel the common factor.

$h = \frac{50}{t} + \frac{t \cdot - 1}{5} \cdot \frac{1}{t}$

Rewrite the expression.

$h = \frac{50}{t} + \frac{- 1}{5}$

Move the negative in front of the fraction.

$h = \frac{50}{t} - \frac{1}{5}$