Basic Math Examples

$- \frac{7}{3} + 0.58 \div \frac{4}{5} - 6.18 \cdot \frac{5}{4} + 1.3$

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

$- \frac{7}{3} + 0.58 (\frac{5}{4}) - 6.18 \cdot \frac{5}{4} + 1.3$

Step 1.2

Multiply $0.58 (\frac{5}{4})$ .

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Step 1.2.1

Combine $0.58$ and $\frac{5}{4}$ .

$- \frac{7}{3} + \frac{0.58 \cdot 5}{4} - 6.18 \cdot \frac{5}{4} + 1.3$

Step 1.2.2

Multiply $0.58$ by $5$ .

$- \frac{7}{3} + \frac{2.9}{4} - 6.18 \cdot \frac{5}{4} + 1.3$

Step 1.3

Divide $2.9$ by $4$ .

$- \frac{7}{3} + 0.725 - 6.18 \cdot \frac{5}{4} + 1.3$

Step 1.4

Multiply $- 6.18 (\frac{5}{4})$ .

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Step 1.4.1

Combine $- 6.18$ and $\frac{5}{4}$ .

$- \frac{7}{3} + 0.725 + \frac{- 6.18 \cdot 5}{4} + 1.3$

Step 1.4.2

Multiply $- 6.18$ by $5$ .

$- \frac{7}{3} + 0.725 + \frac{- 30.9}{4} + 1.3$

Step 1.5

Divide $- 30.9$ by $4$ .

$- \frac{7}{3} + 0.725 - 7.725 + 1.3$

Step 2

Find the common denominator.

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Step 2.1

Write $0.725$ as a fraction with denominator $1$ .

$- \frac{7}{3} + \frac{0.725}{1} - 7.725 + 1.3$

Step 2.2

Multiply $\frac{0.725}{1}$ by $\frac{3}{3}$ .

$- \frac{7}{3} + \frac{0.725}{1} \cdot \frac{3}{3} - 7.725 + 1.3$

Step 2.3

Multiply $\frac{0.725}{1}$ by $\frac{3}{3}$ .

$- \frac{7}{3} + \frac{0.725 \cdot 3}{3} - 7.725 + 1.3$

Step 2.4

Write $- 7.725$ as a fraction with denominator $1$ .

$- \frac{7}{3} + \frac{0.725 \cdot 3}{3} + \frac{- 7.725}{1} + 1.3$

Step 2.5

Multiply $\frac{- 7.725}{1}$ by $\frac{3}{3}$ .

$- \frac{7}{3} + \frac{0.725 \cdot 3}{3} + \frac{- 7.725}{1} \cdot \frac{3}{3} + 1.3$

Step 2.6

Multiply $\frac{- 7.725}{1}$ by $\frac{3}{3}$ .

$- \frac{7}{3} + \frac{0.725 \cdot 3}{3} + \frac{- 7.725 \cdot 3}{3} + 1.3$

Step 2.7

Write $1.3$ as a fraction with denominator $1$ .

$- \frac{7}{3} + \frac{0.725 \cdot 3}{3} + \frac{- 7.725 \cdot 3}{3} + \frac{1.3}{1}$

Step 2.8

Multiply $\frac{1.3}{1}$ by $\frac{3}{3}$ .

$- \frac{7}{3} + \frac{0.725 \cdot 3}{3} + \frac{- 7.725 \cdot 3}{3} + \frac{1.3}{1} \cdot \frac{3}{3}$

Step 2.9

Multiply $\frac{1.3}{1}$ by $\frac{3}{3}$ .

$- \frac{7}{3} + \frac{0.725 \cdot 3}{3} + \frac{- 7.725 \cdot 3}{3} + \frac{1.3 \cdot 3}{3}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 7 + 0.725 \cdot 3 - 7.725 \cdot 3 + 1.3 \cdot 3}{3}$

Step 4

Simplify each term.

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Step 4.1

Multiply $0.725$ by $3$ .

$\frac{- 7 + 2.175 - 7.725 \cdot 3 + 1.3 \cdot 3}{3}$

Step 4.2

Multiply $- 7.725$ by $3$ .

$\frac{- 7 + 2.175 - 23.175 + 1.3 \cdot 3}{3}$

Step 4.3

Multiply $1.3$ by $3$ .

$\frac{- 7 + 2.175 - 23.175 + 3.9}{3}$

Step 5

Simplify the expression.

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Step 5.1

Add $- 7$ and $2.175$ .

$\frac{- 4.825 - 23.175 + 3.9}{3}$

Step 5.2

Subtract $23.175$ from $- 4.825$ .

$\frac{- 28 + 3.9}{3}$

Step 5.3

Add $- 28$ and $3.9$ .

$\frac{- 24.1}{3}$

Step 5.4

Divide $- 24.1$ by $3$ .

$- 8.0\overline{3}$