Basic Math Examples

$\frac{12 \cdot 5}{15 - 3} = y$

Step 1

Rewrite the equation as $y = \frac{12 \cdot 5}{15 - 3}$ .

$y = \frac{12 \cdot 5}{15 - 3}$

Step 2

Simplify $\frac{12 \cdot 5}{15 - 3}$ .

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Step 2.1

Cancel the common factor of $12$ and $15 - 3$ .

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Step 2.1.1

Factor $3$ out of $12 \cdot 5$ .

$y = \frac{3 (4 \cdot 5)}{15 - 3}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $3$ out of $15$ .

$y = \frac{3 (4 \cdot 5)}{3 (5) - 3}$

Step 2.1.2.2

Factor $3$ out of $- 3$ .

$y = \frac{3 (4 \cdot 5)}{3 \cdot 5 + 3 \cdot - 1}$

Step 2.1.2.3

Factor $3$ out of $3 \cdot 5 + 3 \cdot - 1$ .

$y = \frac{3 (4 \cdot 5)}{3 \cdot (5 - 1)}$

Step 2.1.2.4

Cancel the common factor.

$y = \frac{3 (4 \cdot 5)}{3 \cdot (5 - 1)}$

Step 2.1.2.5

Rewrite the expression.

$y = \frac{4 \cdot 5}{5 - 1}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Multiply $4$ by $5$ .

$y = \frac{20}{5 - 1}$

Step 2.2.2

Subtract $1$ from $5$ .

$y = \frac{20}{4}$

Step 2.2.3

Divide $20$ by $4$ .

$y = 5$