Pre-Algebra Examples

$\frac{7}{15 k} + \frac{1}{10} - 3 = 0$

Step 1

Simplify $\frac{7}{15 k} + \frac{1}{10} - 3$ .

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Step 1.1

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$\frac{7}{15 k} + \frac{1}{10} - 3 \cdot \frac{10}{10} = 0$

Step 1.2

Combine $- 3$ and $\frac{10}{10}$ .

$\frac{7}{15 k} + \frac{1}{10} + \frac{- 3 \cdot 10}{10} = 0$

Step 1.3

Combine the numerators over the common denominator.

$\frac{7}{15 k} + \frac{1 - 3 \cdot 10}{10} = 0$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $- 3$ by $10$ .

$\frac{7}{15 k} + \frac{1 - 30}{10} = 0$

Step 1.4.2

Subtract $30$ from $1$ .

$\frac{7}{15 k} + \frac{- 29}{10} = 0$

Step 1.5

Move the negative in front of the fraction.

$\frac{7}{15 k} - \frac{29}{10} = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$k \approx 0.16091954$

Step 3