Solve for L 70=(100(6))/L

$70 = \frac{100 (6)}{L}$

Step 1

Rewrite the equation as $\frac{100 (6)}{L} = 70$ .

$\frac{100 (6)}{L} = 70$

Step 2

Multiply $100$ by $6$ .

$\frac{600}{L} = 70$

Step 3

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.

$L, 1$

The LCM of one and any expression is the expression.

$L$

Step 4

Multiply each term in $\frac{600}{L} = 70$ by $L$ to eliminate the fractions.

Multiply each term in $\frac{600}{L} = 70$ by $L$ .

$\frac{600}{L} L = 70 L$

Simplify the left side.

Cancel the common factor of $L$ .

Cancel the common factor.

$\frac{600}{L} L = 70 L$

Rewrite the expression.

$600 = 70 L$

Step 5

Solve the equation.

Rewrite the equation as $70 L = 600$ .

$70 L = 600$

Divide each term in $70 L = 600$ by $70$ and simplify.

Divide each term in $70 L = 600$ by $70$ .

$\frac{70 L}{70} = \frac{600}{70}$

Simplify the left side.

Cancel the common factor of $70$ .

Cancel the common factor.

$\frac{70 L}{70} = \frac{600}{70}$

Divide $L$ by $1$ .

$L = \frac{600}{70}$

Simplify the right side.

Cancel the common factor of $600$ and $70$ .

Factor $10$ out of $600$ .

$L = \frac{10 (60)}{70}$

Cancel the common factors.

Factor $10$ out of $70$ .

$L = \frac{10 \cdot 60}{10 \cdot 7}$

Cancel the common factor.

$L = \frac{10 \cdot 60}{10 \cdot 7}$

Rewrite the expression.

$L = \frac{60}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$L = \frac{60}{7}$

Decimal Form:

$L = 8.\overline{571428}$

Mixed Number Form:

$L = 8 \frac{4}{7}$

Solve for L 70=(100(6))/L

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