Basic Math Examples

$\frac{4 \cdot (2 y) + 7 y}{5 \cdot (2 y)}$

Step 1

Simplify the numerator.

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Step 1.1

Factor $y$ out of $4 \cdot 2 y + 7 y$ .

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Step 1.1.1

Factor $y$ out of $4 \cdot 2 y$ .

$\frac{y (4 \cdot 2) + 7 y}{5 \cdot 2 y}$

Step 1.1.2

Factor $y$ out of $7 y$ .

$\frac{y (4 \cdot 2) + y \cdot 7}{5 \cdot 2 y}$

Step 1.1.3

Factor $y$ out of $y (4 \cdot 2) + y \cdot 7$ .

$\frac{y (4 \cdot 2 + 7)}{5 \cdot 2 y}$

$\frac{y (4 \cdot 2 + 7)}{5 \cdot 2 y}$

Step 1.2

Multiply $4$ by $2$ .

$\frac{y (8 + 7)}{5 \cdot 2 y}$

Step 1.3

Add $8$ and $7$ .

$\frac{y \cdot 15}{5 \cdot 2 y}$

$\frac{y \cdot 15}{5 \cdot 2 y}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Multiply $5$ by $2$ .

$\frac{y \cdot 15}{10 y}$

Step 2.2

Cancel the common factor of $y$ .

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Step 2.2.1

Cancel the common factor.

$\frac{y \cdot 15}{10 y}$

Step 2.2.2

Rewrite the expression.

$\frac{15}{10}$

$\frac{15}{10}$

Step 2.3

Cancel the common factor of $15$ and $10$ .

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Step 2.3.1

Factor $5$ out of $15$ .

$\frac{5 (3)}{10}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $5$ out of $10$ .

$\frac{5 \cdot 3}{5 \cdot 2}$

Step 2.3.2.2

Cancel the common factor.

$\frac{5 \cdot 3}{5 \cdot 2}$

Step 2.3.2.3

Rewrite the expression.

$\frac{3}{2}$

$\frac{3}{2}$

$\frac{3}{2}$

$\frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$