Precalculus Examples

$\frac{π}{π - 6} + \frac{6}{7} = \frac{6}{π - 6}$

Step 1

Simplify $\frac{3.14159265}{(3.14159265) - 6} + \frac{6}{7}$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Subtract $6$ from $3.14159265$ .

$\frac{3.14159265}{- 2.85840734} + \frac{6}{7} = \frac{6}{(3.14159265) - 6}$

Step 1.1.2

Divide $3.14159265$ by $- 2.85840734$ .

$- 1.09907101 + \frac{6}{7} = \frac{6}{(3.14159265) - 6}$

Step 1.2

To write $- 1.09907101$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$- 1.09907101 \cdot \frac{7}{7} + \frac{6}{7} = \frac{6}{(3.14159265) - 6}$

Step 1.3

Combine fractions.

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Step 1.3.1

Combine $- 1.09907101$ and $\frac{7}{7}$ .

$\frac{- 1.09907101 \cdot 7}{7} + \frac{6}{7} = \frac{6}{(3.14159265) - 6}$

Step 1.3.2

Combine the numerators over the common denominator.

$\frac{- 1.09907101 \cdot 7 + 6}{7} = \frac{6}{(3.14159265) - 6}$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $- 1.09907101$ by $7$ .

$\frac{- 7.69349708 + 6}{7} = \frac{6}{(3.14159265) - 6}$

Step 1.4.2

Add $- 7.69349708$ and $6$ .

$\frac{- 1.69349708}{7} = \frac{6}{(3.14159265) - 6}$

Step 1.5

Divide $- 1.69349708$ by $7$ .

$- 0.24192815 = \frac{6}{(3.14159265) - 6}$

Step 2

Simplify $\frac{6}{(3.14159265) - 6}$ .

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Step 2.1

Subtract $6$ from $3.14159265$ .

$- 0.24192815 = \frac{6}{- 2.85840734}$

Step 2.2

Divide $6$ by $- 2.85840734$ .

$- 0.24192815 = - 2.09907101$

Step 3

Since $- 0.24192815 \neq - 2.09907101$ , there are no solutions.

No solution