Basic Math Examples

$- 2.6 - 4.6 \div (0.6 - 5.4 \cdot - 5.5) + 4.1$

Step 1

Find the common denominator.

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Step 1.1

Write $- 2.6$ as a fraction with denominator $1$ .

$\frac{- 2.6}{1} - 4.6 \div (0.6 - 5.4 \cdot - 5.5) + 4.1$

Step 1.2

Multiply $\frac{- 2.6}{1}$ by $\frac{0.6 - 5.4 \cdot - 5.5}{0.6 - 5.4 \cdot - 5.5}$ .

$\frac{- 2.6}{1} \cdot \frac{0.6 - 5.4 \cdot - 5.5}{0.6 - 5.4 \cdot - 5.5} - 4.6 \div (0.6 - 5.4 \cdot - 5.5) + 4.1$

Step 1.3

Multiply $\frac{- 2.6}{1}$ by $\frac{0.6 - 5.4 \cdot - 5.5}{0.6 - 5.4 \cdot - 5.5}$ .

$\frac{- 2.6 (0.6 - 5.4 \cdot - 5.5)}{0.6 - 5.4 \cdot - 5.5} - 4.6 \div (0.6 - 5.4 \cdot - 5.5) + 4.1$

Step 1.4

Write $4.1$ as a fraction with denominator $1$ .

$\frac{- 2.6 (0.6 - 5.4 \cdot - 5.5)}{0.6 - 5.4 \cdot - 5.5} - 4.6 \div (0.6 - 5.4 \cdot - 5.5) + \frac{4.1}{1}$

Step 1.5

Multiply $\frac{4.1}{1}$ by $\frac{0.6 - 5.4 \cdot - 5.5}{0.6 - 5.4 \cdot - 5.5}$ .

$\frac{- 2.6 (0.6 - 5.4 \cdot - 5.5)}{0.6 - 5.4 \cdot - 5.5} - 4.6 \div (0.6 - 5.4 \cdot - 5.5) + \frac{4.1}{1} \cdot \frac{0.6 - 5.4 \cdot - 5.5}{0.6 - 5.4 \cdot - 5.5}$

Step 1.6

Multiply $\frac{4.1}{1}$ by $\frac{0.6 - 5.4 \cdot - 5.5}{0.6 - 5.4 \cdot - 5.5}$ .

$\frac{- 2.6 (0.6 - 5.4 \cdot - 5.5)}{0.6 - 5.4 \cdot - 5.5} - 4.6 \div (0.6 - 5.4 \cdot - 5.5) + \frac{4.1 (0.6 - 5.4 \cdot - 5.5)}{0.6 - 5.4 \cdot - 5.5}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{- 2.6 (0.6 - 5.4 \cdot - 5.5) - 4.6 + 4.1 (0.6 - 5.4 \cdot - 5.5)}{0.6 - 5.5 \cdot - 5.4}$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $- 5.4$ by $- 5.5$ .

$\frac{- 2.6 (0.6 + 29.7) - 4.6 + 4.1 (0.6 - 5.4 \cdot - 5.5)}{0.6 - 5.5 \cdot - 5.4}$

Step 2.2.2

Add $0.6$ and $29.7$ .

$\frac{- 2.6 \cdot 30.3 - 4.6 + 4.1 (0.6 - 5.4 \cdot - 5.5)}{0.6 - 5.5 \cdot - 5.4}$

Step 2.2.3

Multiply $- 2.6$ by $30.3$ .

$\frac{- 78.78 - 4.6 + 4.1 (0.6 - 5.4 \cdot - 5.5)}{0.6 - 5.5 \cdot - 5.4}$

Step 2.2.4

Multiply $- 5.4$ by $- 5.5$ .

$\frac{- 78.78 - 4.6 + 4.1 (0.6 + 29.7)}{0.6 - 5.5 \cdot - 5.4}$

Step 2.2.5

Add $0.6$ and $29.7$ .

$\frac{- 78.78 - 4.6 + 4.1 \cdot 30.3}{0.6 - 5.5 \cdot - 5.4}$

Step 2.2.6

Multiply $4.1$ by $30.3$ .

$\frac{- 78.78 - 4.6 + 124.23}{0.6 - 5.5 \cdot - 5.4}$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Subtract $4.6$ from $- 78.78$ .

$\frac{- 83.38 + 124.23}{0.6 - 5.5 \cdot - 5.4}$

Step 2.3.2

Add $- 83.38$ and $124.23$ .

$\frac{40.85}{0.6 - 5.5 \cdot - 5.4}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $- 5.5$ by $- 5.4$ .

$\frac{40.85}{0.6 + 29.7}$

Step 3.2

Add $0.6$ and $29.7$ .

$\frac{40.85}{30.3}$

Step 4

Divide $40.85$ by $30.3$ .

$1.3\overline{4818}$