Basic Math Examples

$12 = a \cdot 60 - b$

Step 1

Rewrite the equation as $a \cdot 60 - b = 12$ .

$a \cdot 60 - b = 12$

Step 2

Move $60$ to the left of $a$ .

$60 a - b = 12$

Step 3

Add $b$ to both sides of the equation.

$60 a = 12 + b$

Step 4

Divide each term in $60 a = 12 + b$ by $60$ and simplify.

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Step 4.1

Divide each term in $60 a = 12 + b$ by $60$ .

$\frac{60 a}{60} = \frac{12}{60} + \frac{b}{60}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $60$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{60 a}{60} = \frac{12}{60} + \frac{b}{60}$

Step 4.2.1.2

Divide $a$ by $1$ .

$a = \frac{12}{60} + \frac{b}{60}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $12$ and $60$ .

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Step 4.3.1.1

Factor $12$ out of $12$ .

$a = \frac{12 (1)}{60} + \frac{b}{60}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $12$ out of $60$ .

$a = \frac{12 \cdot 1}{12 \cdot 5} + \frac{b}{60}$

Step 4.3.1.2.2

Cancel the common factor.

$a = \frac{12 \cdot 1}{12 \cdot 5} + \frac{b}{60}$

Step 4.3.1.2.3

Rewrite the expression.

$a = \frac{1}{5} + \frac{b}{60}$