Basic Math Examples

$(5 - 0.5) - 5.2 \div 22.963$

Step 1

Find the common denominator.

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Step 1.1

Write $5$ as a fraction with denominator $1$ .

$\frac{5}{1} - 0.5 - 5.2 \div 22.963$

Step 1.2

Multiply $\frac{5}{1}$ by $\frac{22963}{22963}$ .

$\frac{5}{1} \cdot \frac{22963}{22963} - 0.5 - 5.2 \div 22.963$

Step 1.3

Multiply $\frac{5}{1}$ by $\frac{22963}{22963}$ .

$\frac{5 \cdot 22963}{22963} - 0.5 - 5.2 \div 22.963$

Step 1.4

Write $- 0.5$ as a fraction with denominator $1$ .

$\frac{5 \cdot 22963}{22963} + \frac{- 0.5}{1} - 5.2 \div 22.963$

Step 1.5

Multiply $\frac{- 0.5}{1}$ by $\frac{22963}{22963}$ .

$\frac{5 \cdot 22963}{22963} + \frac{- 0.5}{1} \cdot \frac{22963}{22963} - 5.2 \div 22.963$

Step 1.6

Multiply $\frac{- 0.5}{1}$ by $\frac{22963}{22963}$ .

$\frac{5 \cdot 22963}{22963} + \frac{- 0.5 \cdot 22963}{22963} - 5.2 \div 22.963$

Step 1.7

Multiply $5.2 \div 22.963$ by $\frac{\frac{22963}{22.963}}{\frac{22963}{22.963}}$ .

$\frac{5 \cdot 22963}{22963} + \frac{- 0.5 \cdot 22963}{22963} - (5.2 \div 22.963 \cdot \frac{\frac{22963}{22.963}}{\frac{22963}{22.963}})$

Step 1.8

Multiply $5.2 \div 22.963$ by $\frac{\frac{22963}{22.963}}{\frac{22963}{22.963}}$ .

$\frac{5 \cdot 22963}{22963} + \frac{- 0.5 \cdot 22963}{22963} - \frac{5.2 (\frac{22963}{22.963})}{22.963 (\frac{22963}{22.963})}$

Step 1.9

Combine $22.963$ and $\frac{22963}{22.963}$ .

$\frac{5 \cdot 22963}{22963} + \frac{- 0.5 \cdot 22963}{22963} - \frac{5.2 (\frac{22963}{22.963})}{\frac{22.963 \cdot 22963}{22.963}}$

Step 1.10

Multiply $22.963$ by $22963$ .

$\frac{5 \cdot 22963}{22963} + \frac{- 0.5 \cdot 22963}{22963} - \frac{5.2 (\frac{22963}{22.963})}{\frac{527299.369}{22.963}}$

Step 2

Combine the numerators over the common denominator.

$\frac{5 \cdot 22963 - 0.5 \cdot 22963}{22963} + \frac{- 5.2 (\frac{22963}{22.963})}{\frac{527299.369}{22.963}}$

Step 3

Simplify each term.

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Step 3.1

Multiply $5$ by $22963$ .

$\frac{114815 - 0.5 \cdot 22963}{22963} + \frac{- 5.2 (\frac{22963}{22.963})}{\frac{527299.369}{22.963}}$

Step 3.2

Multiply $- 0.5$ by $22963$ .

$\frac{114815 - 11481.5}{22963} + \frac{- 5.2 (\frac{22963}{22.963})}{\frac{527299.369}{22.963}}$

Step 4

Subtract $11481.5$ from $114815$ .

$\frac{103333.5}{22963} + \frac{- 5.2 (\frac{22963}{22.963})}{\frac{527299.369}{22.963}}$

Step 5

Simplify each term.

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Step 5.1

Divide $103333.5$ by $22963$ .

$4.5 + \frac{- 5.2 (\frac{22963}{22.963})}{\frac{527299.369}{22.963}}$

Step 5.2

Multiply the numerator by the reciprocal of the denominator.

$4.5 - 5.2 (\frac{22963}{22.963}) \frac{22.963}{527299.369}$

Step 5.3

Divide $22963$ by $22.963$ .

$4.5 - 5.2 \cdot 1000 \frac{22.963}{527299.369}$

Step 5.4

Multiply $- 5.2$ by $1000$ .

$4.5 - 5200 (\frac{22.963}{527299.369})$

Step 5.5

Divide $22.963$ by $527299.369$ .

$4.5 - 5200 \cdot 0.00004354$

Step 5.6

Multiply $- 5200$ by $0.00004354$ .

$4.5 - 0.22645124$

Step 6

Subtract $0.22645124$ from $4.5$ .

$4.27354875$