Basic Math Examples

$- \frac{0.25 + 0.8333}{0.5 + \frac{3}{5}}$

Step 1

Multiply the numerator and denominator of the fraction by $5$ .

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Step 1.1

Multiply $\frac{0.25 + 0.8333}{0.5 + \frac{3}{5}}$ by $\frac{5}{5}$ .

$- (\frac{5}{5} \cdot \frac{0.25 + 0.8333}{0.5 + \frac{3}{5}})$

Step 1.2

Combine.

$- \frac{5 (0.25 + 0.8333)}{5 (0.5 + \frac{3}{5})}$

Step 2

Apply the distributive property.

$- \frac{5 \cdot 0.25 + 5 \cdot 0.8333}{5 \cdot 0.5 + 5 (\frac{3}{5})}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Cancel the common factor.

$- \frac{5 \cdot 0.25 + 5 \cdot 0.8333}{5 \cdot 0.5 + 5 (\frac{3}{5})}$

Step 3.2

Rewrite the expression.

$- \frac{5 \cdot 0.25 + 5 \cdot 0.8333}{5 \cdot 0.5 + 3}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $5$ by $0.25$ .

$- \frac{1.25 + 5 \cdot 0.8333}{5 \cdot 0.5 + 3}$

Step 4.2

Multiply $5$ by $0.8333$ .

$- \frac{1.25 + 4.1665}{5 \cdot 0.5 + 3}$

Step 4.3

Add $1.25$ and $4.1665$ .

$- \frac{5.4165}{5 \cdot 0.5 + 3}$

Step 5

Simplify the denominator.

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Step 5.1

Multiply $5$ by $0.5$ .

$- \frac{5.4165}{2.5 + 3}$

Step 5.2

Add $2.5$ and $3$ .

$- \frac{5.4165}{5.5}$

Step 6

Simplify the expression.

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Step 6.1

Divide $5.4165$ by $5.5$ .

$- 1 \cdot 0.984\overline{81}$

Step 6.2

Multiply $- 1$ by $0.984\overline{81}$ .

$- 0.984\overline{81}$