Basic Math Examples

$(v \cdot 0.5405 - 4550) \div 240000 \cdot 33.13$

Step 1

Factor $0.0005$ out of $v \cdot 0.5405 - 4550$ .

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Step 1.1

Reorder $v$ and $0.5405$ .

$(0.5405 \cdot v - 4550) \div 240000 \cdot 33.13$

Step 1.2

Factor $0.0005$ out of $0.5405 \cdot v$ .

$(0.0005 (1081 \cdot v) - 4550) \div 240000 \cdot 33.13$

Step 1.3

Factor $0.0005$ out of $- 4550$ .

$(0.0005 (1081 \cdot v) + 0.0005 (- 9100000)) \div 240000 \cdot 33.13$

Step 1.4

Factor $0.0005$ out of $0.0005 (1081 \cdot v) + 0.0005 (- 9100000)$ .

$0.0005 (1081 \cdot v - 9100000) \div 240000 \cdot 33.13$

$0.0005 (1081 v - 9100000) \div 240000 \cdot 33.13$

Step 2

Rewrite the division as a fraction.

$\frac{0.0005 (1081 v - 9100000)}{240000} \cdot 33.13$

Step 3

Cancel the common factor of $0.0005$ .

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Step 3.1

Cancel the common factor.

$\frac{0.0005 (1081 v - 9100000)}{240000} \cdot 33.13$

Step 3.2

Rewrite the expression.

$\frac{1081 v - 9100000}{240000} \cdot \frac{33.13}{2000}$

Step 4

Multiply $\frac{1081 v - 9100000}{240000}$ by $\frac{33.13}{2000}$ .

$\frac{(1081 v - 9100000) \cdot 33.13}{240000 \cdot 2000}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $240000$ by $2000$ .

$\frac{(1081 v - 9100000) \cdot 33.13}{480000000}$

Step 5.2

Move $33.13$ to the left of $1081 v - 9100000$ .

$\frac{33.13 \cdot (1081 v - 9100000)}{480000000}$

Step 6

Factor $33.13$ out of $33.13 \cdot (1081 v - 9100000)$ .

$\frac{33.13 (1081 v - 9100000)}{480000000}$

Step 7

Factor $480000000$ out of $480000000$ .

$\frac{33.13 (1081 v - 9100000)}{480000000 (1)}$

Step 8

Separate fractions.

$\frac{33.13}{480000000} \cdot \frac{1081 v - 9100000}{1}$

Step 9

Simplify the expression.

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Step 9.1

Divide $33.13$ by $480000000$ .

$0.00000006 \frac{1081 v - 9100000}{1}$

Step 9.2

Divide $1081 v - 9100000$ by $1$ .

$0.00000006 (1081 v - 9100000)$

Step 10

Apply the distributive property.

$0.00000006 (1081 v) + 0.00000006 \cdot - 9100000$

Step 11

Multiply.

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Step 11.1

Multiply $1081$ by $0.00000006$ .

$0.00007461 v + 0.00000006 \cdot - 9100000$

Step 11.2

Multiply $0.00000006$ by $- 9100000$ .

$0.00007461 v - 0.62808958$