Basic Math Examples

$410 \cdot 1300 - \frac{1300}{6} \cdot 1300 - (5900 + 145 \cdot 1300)$

Step 1

Simplify each term.

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Step 1.1

Multiply $410$ by $1300$ .

$533000 - \frac{1300}{6} \cdot 1300 - (5900 + 145 \cdot 1300)$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Move the leading negative in $- \frac{1300}{6}$ into the numerator.

$533000 + \frac{- 1300}{6} \cdot 1300 - (5900 + 145 \cdot 1300)$

Step 1.2.2

Factor $2$ out of $6$ .

$533000 + \frac{- 1300}{2 (3)} \cdot 1300 - (5900 + 145 \cdot 1300)$

Step 1.2.3

Factor $2$ out of $1300$ .

$533000 + \frac{- 1300}{2 \cdot 3} \cdot (2 \cdot 650) - (5900 + 145 \cdot 1300)$

Step 1.2.4

Cancel the common factor.

$533000 + \frac{- 1300}{2 \cdot 3} \cdot (2 \cdot 650) - (5900 + 145 \cdot 1300)$

Step 1.2.5

Rewrite the expression.

$533000 + \frac{- 1300}{3} \cdot 650 - (5900 + 145 \cdot 1300)$

Step 1.3

Combine $\frac{- 1300}{3}$ and $650$ .

$533000 + \frac{- 1300 \cdot 650}{3} - (5900 + 145 \cdot 1300)$

Step 1.4

Multiply $- 1300$ by $650$ .

$533000 + \frac{- 845000}{3} - (5900 + 145 \cdot 1300)$

Step 1.5

Move the negative in front of the fraction.

$533000 - \frac{845000}{3} - (5900 + 145 \cdot 1300)$

Step 1.6

Multiply $145$ by $1300$ .

$533000 - \frac{845000}{3} - (5900 + 188500)$

Step 1.7

Add $5900$ and $188500$ .

$533000 - \frac{845000}{3} - 1 \cdot 194400$

Step 1.8

Multiply $- 1$ by $194400$ .

$533000 - \frac{845000}{3} - 194400$

Step 2

Find the common denominator.

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Step 2.1

Write $533000$ as a fraction with denominator $1$ .

$\frac{533000}{1} - \frac{845000}{3} - 194400$

Step 2.2

Multiply $\frac{533000}{1}$ by $\frac{3}{3}$ .

$\frac{533000}{1} \cdot \frac{3}{3} - \frac{845000}{3} - 194400$

Step 2.3

Multiply $\frac{533000}{1}$ by $\frac{3}{3}$ .

$\frac{533000 \cdot 3}{3} - \frac{845000}{3} - 194400$

Step 2.4

Write $- 194400$ as a fraction with denominator $1$ .

$\frac{533000 \cdot 3}{3} - \frac{845000}{3} + \frac{- 194400}{1}$

Step 2.5

Multiply $\frac{- 194400}{1}$ by $\frac{3}{3}$ .

$\frac{533000 \cdot 3}{3} - \frac{845000}{3} + \frac{- 194400}{1} \cdot \frac{3}{3}$

Step 2.6

Multiply $\frac{- 194400}{1}$ by $\frac{3}{3}$ .

$\frac{533000 \cdot 3}{3} - \frac{845000}{3} + \frac{- 194400 \cdot 3}{3}$

Step 3

Combine the numerators over the common denominator.

$\frac{533000 \cdot 3 - 845000 - 194400 \cdot 3}{3}$

Step 4

Simplify each term.

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Step 4.1

Multiply $533000$ by $3$ .

$\frac{1599000 - 845000 - 194400 \cdot 3}{3}$

Step 4.2

Multiply $- 194400$ by $3$ .

$\frac{1599000 - 845000 - 583200}{3}$

Step 5

Simplify by subtracting numbers.

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Step 5.1

Subtract $845000$ from $1599000$ .

$\frac{754000 - 583200}{3}$

Step 5.2

Subtract $583200$ from $754000$ .

$\frac{170800}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{170800}{3}$

Decimal Form:

$56933.\overline{3}$

Mixed Number Form:

$56933 \frac{1}{3}$