Basic Math Examples

(5 - 0.5) - 5.2 \div 22.963

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

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

Write

5

$5$ as a fraction with denominator

1

$1$ .

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

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

Step 1.2

Multiply

\frac{5}{1}

$\frac{5}{1}$ by

\frac{22963}{22963}

$\frac{22963}{22963}$ .

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

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

Step 1.3

Multiply

\frac{5}{1}

$\frac{5}{1}$ by

\frac{22963}{22963}

$\frac{22963}{22963}$ .

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

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

Step 1.4

Write

- 0.5

$- 0.5$ as a fraction with denominator

1

$1$ .

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

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

Step 1.5

Multiply

\frac{- 0.5}{1}

$\frac{- 0.5}{1}$ by

\frac{22963}{22963}

$\frac{22963}{22963}$ .

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

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

Step 1.6

Multiply

\frac{- 0.5}{1}

$\frac{- 0.5}{1}$ by

\frac{22963}{22963}

$\frac{22963}{22963}$ .

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

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

Step 1.7

Multiply

5.2 \div 22.963

$5.2 \div 22.963$ by

\frac{\frac{22963}{22.963}}{\frac{22963}{22.963}}

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

\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}})

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

Step 1.8

Multiply

5.2 \div 22.963

$5.2 \div 22.963$ by

\frac{\frac{22963}{22.963}}{\frac{22963}{22.963}}

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

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

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

Step 1.9

Combine

22.963

$22.963$ and

\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})}{\frac{22.963 \cdot 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

$22.963$ by

22963

$22963$ .

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

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

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

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

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}}

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

Step 3

Simplify each term.

Tap for more steps...

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.

Tap for more steps...

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

$4.5$ .

$4.27354875$