Basic Math Examples

$\frac{1}{5} \cdot (750 + b) = 350$

Step 1

Multiply both sides of the equation by $\frac{5}{1}$ .

$\frac{5}{1} (\frac{1}{5} \cdot (750 + b)) = \frac{5}{1} \cdot 350$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{5}{1} (\frac{1}{5} \cdot (750 + b))$ .

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Step 2.1.1.1

Divide $5$ by $1$ .

$5 (\frac{1}{5} \cdot (750 + b)) = \frac{5}{1} \cdot 350$

Step 2.1.1.2

Cancel the common factor of $1$ and $5$ .

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Step 2.1.1.2.1

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

$5 (\frac{1 (1)}{5} \cdot (750 + b)) = \frac{5}{1} \cdot 350$

Step 2.1.1.2.2

Cancel the common factors.

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Step 2.1.1.2.2.1

Rewrite $5$ as $1 (5)$ .

$5 (\frac{1 \cdot 1}{1 \cdot 5} \cdot (750 + b)) = \frac{5}{1} \cdot 350$

Step 2.1.1.2.2.2

Cancel the common factor.

$5 (\frac{1 \cdot 1}{1 \cdot 5} \cdot (750 + b)) = \frac{5}{1} \cdot 350$

Step 2.1.1.2.2.3

Rewrite the expression.

$5 (\frac{1}{5} \cdot (750 + b)) = \frac{5}{1} \cdot 350$

Step 2.1.1.3

Apply the distributive property.

$5 (\frac{1}{5} \cdot 750 + \frac{1}{5} b) = \frac{5}{1} \cdot 350$

Step 2.1.1.4

Cancel the common factor of $5$ .

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Step 2.1.1.4.1

Factor $5$ out of $750$ .

$5 (\frac{1}{5} \cdot (5 (150)) + \frac{1}{5} b) = \frac{5}{1} \cdot 350$

Step 2.1.1.4.2

Cancel the common factor.

$5 (\frac{1}{5} \cdot (5 \cdot 150) + \frac{1}{5} b) = \frac{5}{1} \cdot 350$

Step 2.1.1.4.3

Rewrite the expression.

$5 (150 + \frac{1}{5} b) = \frac{5}{1} \cdot 350$

Step 2.1.1.5

Combine $\frac{1}{5}$ and $b$ .

$5 (150 + \frac{b}{5}) = \frac{5}{1} \cdot 350$

Step 2.1.1.6

Apply the distributive property.

$5 \cdot 150 + 5 \frac{b}{5} = \frac{5}{1} \cdot 350$

Step 2.1.1.7

Multiply $5$ by $150$ .

$750 + 5 \frac{b}{5} = \frac{5}{1} \cdot 350$

Step 2.1.1.8

Cancel the common factor of $5$ .

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Step 2.1.1.8.1

Cancel the common factor.

$750 + 5 \frac{b}{5} = \frac{5}{1} \cdot 350$

Step 2.1.1.8.2

Rewrite the expression.

$750 + b = \frac{5}{1} \cdot 350$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{5}{1} \cdot 350$ .

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Step 2.2.1.1

Cancel the common factor of $1$ .

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Step 2.2.1.1.1

Rewrite $350$ as $1 (350)$ .

$750 + b = \frac{5}{1} \cdot (1 (350))$

Step 2.2.1.1.2

Cancel the common factor.

$750 + b = \frac{5}{1} \cdot (1 \cdot 350)$

Step 2.2.1.1.3

Rewrite the expression.

$750 + b = 5 \cdot 350$

Step 2.2.1.2

Multiply $5$ by $350$ .

$750 + b = 1750$

Step 3

Move all terms not containing $b$ to the right side of the equation.

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Step 3.1

Subtract $750$ from both sides of the equation.

$b = 1750 - 750$

Step 3.2

Subtract $750$ from $1750$ .

$b = 1000$