Pre-Algebra Examples

$\frac{- π + 1}{4} + \frac{13}{20} = \frac{π}{5} - \frac{π - 1}{2}$

Step 1

Simplify $\frac{- (3.14159265) + 1}{4} + \frac{13}{20}$ .

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Step 1.1

Multiply $- 1$ by $3.14159265$ .

$\frac{- 3.14159265 + 1}{4} + \frac{13}{20} = \frac{3.14159265}{5} - \frac{(3.14159265) - 1}{2}$

Step 1.2

Add $- 3.14159265$ and $1$ .

$\frac{- 2.14159265}{4} + \frac{13}{20} = \frac{3.14159265}{5} - \frac{(3.14159265) - 1}{2}$

Step 1.3

Divide $- 2.14159265$ by $4$ .

$- 0.53539816 + \frac{13}{20} = \frac{3.14159265}{5} - \frac{(3.14159265) - 1}{2}$

Step 1.4

To write $- 0.53539816$ as a fraction with a common denominator, multiply by $\frac{20}{20}$ .

$- 0.53539816 \cdot \frac{20}{20} + \frac{13}{20} = \frac{3.14159265}{5} - \frac{(3.14159265) - 1}{2}$

Step 1.5

Combine fractions.

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Step 1.5.1

Combine $- 0.53539816$ and $\frac{20}{20}$ .

$\frac{- 0.53539816 \cdot 20}{20} + \frac{13}{20} = \frac{3.14159265}{5} - \frac{(3.14159265) - 1}{2}$

Step 1.5.2

Combine the numerators over the common denominator.

$\frac{- 0.53539816 \cdot 20 + 13}{20} = \frac{3.14159265}{5} - \frac{(3.14159265) - 1}{2}$

Step 1.6

Simplify the numerator.

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Step 1.6.1

Multiply $- 0.53539816$ by $20$ .

$\frac{- 10.70796326 + 13}{20} = \frac{3.14159265}{5} - \frac{(3.14159265) - 1}{2}$

Step 1.6.2

Add $- 10.70796326$ and $13$ .

$\frac{2.29203673}{20} = \frac{3.14159265}{5} - \frac{(3.14159265) - 1}{2}$

Step 1.7

Divide $2.29203673$ by $20$ .

$0.11460183 = \frac{3.14159265}{5} - \frac{(3.14159265) - 1}{2}$

Step 2

Simplify $\frac{3.14159265}{5} - \frac{(3.14159265) - 1}{2}$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Divide $3.14159265$ by $5$ .

$0.11460183 = 0.62831853 - \frac{(3.14159265) - 1}{2}$

Step 2.1.2

Subtract $1$ from $3.14159265$ .

$0.11460183 = 0.62831853 - \frac{2.14159265}{2}$

Step 2.1.3

Divide $2.14159265$ by $2$ .

$0.11460183 = 0.62831853 - 1 \cdot 1.07079632$

Step 2.1.4

Multiply $- 1$ by $1.07079632$ .

$0.11460183 = 0.62831853 - 1.07079632$

Step 2.2

Subtract $1.07079632$ from $0.62831853$ .

$0.11460183 = - 0.44247779$

Step 3

Since $0.11460183 \neq - 0.44247779$ , there are no solutions.

No solution