Basic Math Examples

$\frac{g}{t} - h = k l$

Step 1

Add $h$ to both sides of the equation.

$\frac{g}{t} = k l + h$

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

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

$t, 1, 1$

Step 2.2

The LCM of one and any expression is the expression.

$t$

Step 3

Multiply each term in $\frac{g}{t} = k l + h$ by $t$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{g}{t} = k l + h$ by $t$ .

$\frac{g}{t} t = k l t + h t$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $t$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{g}{t} t = k l t + h t$

Step 3.2.1.2

Rewrite the expression.

$g = k l t + h t$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $k l t + h t = g$ .

$k l t + h t = g$

Step 4.2

Factor $t$ out of $k l t + h t$ .

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Step 4.2.1

Factor $t$ out of $k l t$ .

$t (k l) + h t = g$

Step 4.2.2

Factor $t$ out of $h t$ .

$t (k l) + t h = g$

Step 4.2.3

Factor $t$ out of $t (k l) + t h$ .

$t (k l + h) = g$

Step 4.3

Divide each term in $t (k l + h) = g$ by $k l + h$ and simplify.

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Step 4.3.1

Divide each term in $t (k l + h) = g$ by $k l + h$ .

$\frac{t (k l + h)}{k l + h} = \frac{g}{k l + h}$

Step 4.3.2

Simplify the left side.

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Step 4.3.2.1

Cancel the common factor of $k l + h$ .

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Step 4.3.2.1.1

Cancel the common factor.

$\frac{t (k l + h)}{k l + h} = \frac{g}{k l + h}$

Step 4.3.2.1.2

Divide $t$ by $1$ .

$t = \frac{g}{k l + h}$