Solve for t q=v/t

$q = \frac{v}{t}$

Step 1

Rewrite the equation as $\frac{v}{t} = q$ .

$\frac{v}{t} = q$

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$t, 1$

The LCM of one and any expression is the expression.

$t$

Step 3

Multiply each term in $\frac{v}{t} = q$ by $t$ to eliminate the fractions.

Multiply each term in $\frac{v}{t} = q$ by $t$ .

$\frac{v}{t} t = q t$

Simplify the left side.

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{v}{t} t = q t$

Rewrite the expression.

$v = q t$

Step 4

Solve the equation.

Rewrite the equation as $q t = v$ .

$q t = v$

Divide each term in $q t = v$ by $q$ and simplify.

Divide each term in $q t = v$ by $q$ .

$\frac{q t}{q} = \frac{v}{q}$

Simplify the left side.

Cancel the common factor of $q$ .

Cancel the common factor.

$\frac{q t}{q} = \frac{v}{q}$

Divide $t$ by $1$ .

$t = \frac{v}{q}$