Basic Math Examples

$(\frac{1 + 2 π}{3 π - 2}) - (\frac{8 π - 1}{3 π - 2})$

Step 1

Combine the numerators over the common denominator.

$\frac{1 + 2 π - (8 π - 1)}{3 π - 2}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{1 + 2 π - (8 π) - - 1}{3 π - 2}$

Step 2.2

Multiply $8$ by $- 1$ .

$\frac{1 + 2 π - 8 π - - 1}{3 π - 2}$

Step 2.3

Multiply $- 1$ by $- 1$ .

$\frac{1 + 2 π - 8 π + 1}{3 π - 2}$

Step 3

Simplify by adding terms.

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Step 3.1

Add $1$ and $1$ .

$\frac{2 + 2 π - 8 π}{3 π - 2}$

Step 3.2

Subtract $8 π$ from $2 π$ .

$\frac{2 - 6 π}{3 π - 2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2 - 6 π}{3 π - 2}$

Decimal Form:

$- 2.26936832 \dots$