Basic Math Examples

$0.4 \cdot 0.01 \div 0.25 + 0.384 - 0.4$

Step 1

Multiply $0.4$ by $0.01$ .

$0.004 \div 0.25 + 0.384 - 0.4$

Step 2

Find the common denominator.

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Step 2.1

Multiply $0.004 \div 0.25$ by $\frac{\frac{1}{0.25}}{\frac{1}{0.25}}$ .

$0.004 \div 0.25 \cdot \frac{\frac{1}{0.25}}{\frac{1}{0.25}} + 0.384 - 0.4$

Step 2.2

Multiply $0.004 \div 0.25$ by $\frac{\frac{1}{0.25}}{\frac{1}{0.25}}$ .

$\frac{0.004 (\frac{1}{0.25})}{0.25 (\frac{1}{0.25})} + 0.384 - 0.4$

Step 2.3

Write $0.384$ as a fraction with denominator $1$ .

$\frac{0.004 (\frac{1}{0.25})}{0.25 (\frac{1}{0.25})} + \frac{0.384}{1} - 0.4$

Step 2.4

Multiply $\frac{0.384}{1}$ by $\frac{1}{1}$ .

$\frac{0.004 (\frac{1}{0.25})}{0.25 (\frac{1}{0.25})} + \frac{0.384}{1} \cdot \frac{1}{1} - 0.4$

Step 2.5

Multiply $\frac{0.384}{1}$ by $\frac{1}{1}$ .

$\frac{0.004 (\frac{1}{0.25})}{0.25 (\frac{1}{0.25})} + \frac{0.384}{1} - 0.4$

Step 2.6

Write $- 0.4$ as a fraction with denominator $1$ .

$\frac{0.004 (\frac{1}{0.25})}{0.25 (\frac{1}{0.25})} + \frac{0.384}{1} + \frac{- 0.4}{1}$

Step 2.7

Multiply $\frac{- 0.4}{1}$ by $\frac{1}{1}$ .

$\frac{0.004 (\frac{1}{0.25})}{0.25 (\frac{1}{0.25})} + \frac{0.384}{1} + \frac{- 0.4}{1} \cdot \frac{1}{1}$

Step 2.8

Multiply $\frac{- 0.4}{1}$ by $\frac{1}{1}$ .

$\frac{0.004 (\frac{1}{0.25})}{0.25 (\frac{1}{0.25})} + \frac{0.384}{1} + \frac{- 0.4}{1}$

Step 2.9

Combine $0.25$ and $\frac{1}{0.25}$ .

$\frac{0.004 (\frac{1}{0.25})}{\frac{0.25}{0.25}} + \frac{0.384}{1} + \frac{- 0.4}{1}$

Step 3

Combine fractions.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{0.004 (\frac{1}{0.25})}{\frac{0.25}{0.25}} + \frac{0.384 - 0.4}{1}$

Step 3.2

Subtract $0.4$ from $0.384$ .

$\frac{0.004 (\frac{1}{0.25})}{\frac{0.25}{0.25}} + \frac{- 0.016}{1}$

Step 4

Simplify each term.

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Step 4.1

Cancel the common factor of $0.25$ .

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Step 4.1.1

Cancel the common factor.

$\frac{0.004 (\frac{1}{0.25})}{\frac{0.25}{0.25}} + \frac{- 0.016}{1}$

Step 4.1.2

Rewrite the expression.

$\frac{0.004 (\frac{1}{0.25})}{1} + \frac{- 0.016}{1}$

Step 4.2

Divide $0.004 (\frac{1}{0.25})$ by $1$ .

$0.004 (\frac{1}{0.25}) + \frac{- 0.016}{1}$

Step 4.3

Divide $1$ by $0.25$ .

$0.004 \cdot 4 + \frac{- 0.016}{1}$

Step 4.4

Multiply $0.004$ by $4$ .

$0.016 + \frac{- 0.016}{1}$

Step 4.5

Divide $- 0.016$ by $1$ .

$0.016 - 0.016$

Step 5

Subtract $0.016$ from $0.016$ .

$0$