Basic Math Examples

$- 80 % + \frac{54}{50} - 0.25$

Step 1

Simplify each term.

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Step 1.1

Convert $80 %$ to a decimal.

$- 1 \cdot 0.8 + \frac{54}{50} - 0.25$

Step 1.2

Multiply $- 1$ by $0.8$ .

$- 0.8 + \frac{54}{50} - 0.25$

Step 1.3

Cancel the common factor of $54$ and $50$ .

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Step 1.3.1

Factor $2$ out of $54$ .

$- 0.8 + \frac{2 (27)}{50} - 0.25$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $2$ out of $50$ .

$- 0.8 + \frac{2 \cdot 27}{2 \cdot 25} - 0.25$

Step 1.3.2.2

Cancel the common factor.

$- 0.8 + \frac{2 \cdot 27}{2 \cdot 25} - 0.25$

Step 1.3.2.3

Rewrite the expression.

$- 0.8 + \frac{27}{25} - 0.25$

Step 2

Find the common denominator.

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Step 2.1

Write $- 0.8$ as a fraction with denominator $1$ .

$\frac{- 0.8}{1} + \frac{27}{25} - 0.25$

Step 2.2

Multiply $\frac{- 0.8}{1}$ by $\frac{25}{25}$ .

$\frac{- 0.8}{1} \cdot \frac{25}{25} + \frac{27}{25} - 0.25$

Step 2.3

Multiply $\frac{- 0.8}{1}$ by $\frac{25}{25}$ .

$\frac{- 0.8 \cdot 25}{25} + \frac{27}{25} - 0.25$

Step 2.4

Write $- 0.25$ as a fraction with denominator $1$ .

$\frac{- 0.8 \cdot 25}{25} + \frac{27}{25} + \frac{- 0.25}{1}$

Step 2.5

Multiply $\frac{- 0.25}{1}$ by $\frac{25}{25}$ .

$\frac{- 0.8 \cdot 25}{25} + \frac{27}{25} + \frac{- 0.25}{1} \cdot \frac{25}{25}$

Step 2.6

Multiply $\frac{- 0.25}{1}$ by $\frac{25}{25}$ .

$\frac{- 0.8 \cdot 25}{25} + \frac{27}{25} + \frac{- 0.25 \cdot 25}{25}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 0.8 \cdot 25 + 27 - 0.25 \cdot 25}{25}$

Step 4

Simplify each term.

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Step 4.1

Multiply $- 0.8$ by $25$ .

$\frac{- 20 + 27 - 0.25 \cdot 25}{25}$

Step 4.2

Multiply $- 0.25$ by $25$ .

$\frac{- 20 + 27 - 6.25}{25}$

Step 5

Simplify the expression.

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Step 5.1

Add $- 20$ and $27$ .

$\frac{7 - 6.25}{25}$

Step 5.2

Subtract $6.25$ from $7$ .

$\frac{0.75}{25}$

Step 5.3

Divide $0.75$ by $25$ .

$0.03$