Basic Math Examples

$219 \div 104 = 2 \cdot (p v (1.34 g))$

Step 1

Rewrite the equation as $2 \cdot (p v) \cdot (1.34 g) = 219 \div 104$ .

$2 \cdot (p v) \cdot (1.34 g) = 219 \div 104$

Step 2

Simplify.

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Step 2.1

Multiply $1.34$ by $2$ .

$2.68 \cdot (p v) \cdot g = 219 \div 104$

Step 2.2

Remove parentheses.

$2.68 \cdot p v \cdot g = 219 \div 104$

Step 2.3

Rewrite the division as a fraction.

$2.68 \cdot p v \cdot g = \frac{219}{104}$

Step 3

Divide each term in $2.68 \cdot (p v) \cdot g = \frac{219}{104}$ by $2.68 p v$ and simplify.

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Step 3.1

Divide each term in $2.68 \cdot (p v) \cdot g = \frac{219}{104}$ by $2.68 p v$ .

$\frac{2.68 \cdot (p v) \cdot g}{2.68 p v} = \frac{\frac{219}{104}}{2.68 p v}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2.68$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2.68 \cdot (p v) \cdot g}{2.68 p v} = \frac{\frac{219}{104}}{2.68 p v}$

Step 3.2.1.2

Rewrite the expression.

$\frac{(p v) \cdot g}{p v} = \frac{\frac{219}{104}}{2.68 p v}$

Step 3.2.2

Cancel the common factor of $p$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{p v \cdot g}{p v} = \frac{\frac{219}{104}}{2.68 p v}$

Step 3.2.2.2

Rewrite the expression.

$\frac{(v) \cdot g}{v} = \frac{\frac{219}{104}}{2.68 p v}$

Step 3.2.3

Cancel the common factor of $v$ .

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Step 3.2.3.1

Cancel the common factor.

$\frac{v \cdot g}{v} = \frac{\frac{219}{104}}{2.68 p v}$

Step 3.2.3.2

Divide $g$ by $1$ .

$g = \frac{\frac{219}{104}}{2.68 p v}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply the numerator by the reciprocal of the denominator.

$g = \frac{219}{104} \cdot \frac{1}{2.68 p v}$

Step 3.3.2

Rewrite $1$ as $1 (1)$ .

$g = \frac{219}{104} \cdot \frac{1 (1)}{2.68 p v}$

Step 3.3.3

Factor $2.68$ out of $2.68 p v$ .

$g = \frac{219}{104} \cdot \frac{1 (1)}{2.68 (p v)}$

Step 3.3.4

Separate fractions.

$g = \frac{219}{104} (\frac{1}{2.68} \cdot \frac{1}{p v})$

Step 3.3.5

Divide $1$ by $2.68$ .

$g = \frac{219}{104} (0.37313432 \frac{1}{p v})$

Step 3.3.6

Combine $0.37313432$ and $\frac{1}{p v}$ .

$g = \frac{219}{104} \cdot \frac{0.37313432}{p v}$

Step 3.3.7

Multiply $\frac{219}{104} \cdot \frac{0.37313432}{p v}$ .

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Step 3.3.7.1

Multiply $\frac{219}{104}$ by $\frac{0.37313432}{p v}$ .

$g = \frac{219 \cdot 0.37313432}{104 (p v)}$

Step 3.3.7.2

Multiply $219$ by $0.37313432$ .

$g = \frac{81.71641791}{104 (p v)}$

Step 3.3.8

Factor $81.71641791$ out of $81.71641791$ .

$g = \frac{81.71641791 (1)}{104 p v}$

Step 3.3.9

Factor $104$ out of $104 p v$ .

$g = \frac{81.71641791 (1)}{104 (p v)}$

Step 3.3.10

Separate fractions.

$g = \frac{81.71641791}{104} \cdot \frac{1}{p v}$

Step 3.3.11

Divide $81.71641791$ by $104$ .

$g = 0.78573478 \frac{1}{p v}$

Step 3.3.12

Combine $0.78573478$ and $\frac{1}{p v}$ .

$g = \frac{0.78573478}{p v}$