Basic Math Examples

$\frac{3 y}{4} \cdot \frac{5}{10 y}$

Step 1

Cancel the common factor of $y$ .

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Step 1.1

Factor $y$ out of $3 y$ .

$\frac{y \cdot 3}{4} \cdot \frac{5}{10 y}$

Step 1.2

Factor $y$ out of $10 y$ .

$\frac{y \cdot 3}{4} \cdot \frac{5}{y \cdot 10}$

Step 1.3

Cancel the common factor.

$\frac{y \cdot 3}{4} \cdot \frac{5}{y \cdot 10}$

Step 1.4

Rewrite the expression.

$\frac{3}{4} \cdot \frac{5}{10}$

$\frac{3}{4} \cdot \frac{5}{10}$

Step 2

Multiply $\frac{3}{4}$ by $\frac{5}{10}$ .

$\frac{3 \cdot 5}{4 \cdot 10}$

Step 3

Multiply.

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Step 3.1

Multiply $3$ by $5$ .

$\frac{15}{4 \cdot 10}$

Step 3.2

Multiply $4$ by $10$ .

$\frac{15}{40}$

$\frac{15}{40}$

Step 4

Cancel the common factor of $15$ and $40$ .

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Step 4.1

Factor $5$ out of $15$ .

$\frac{5 (3)}{40}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $5$ out of $40$ .

$\frac{5 \cdot 3}{5 \cdot 8}$

Step 4.2.2

Cancel the common factor.

$\frac{5 \cdot 3}{5 \cdot 8}$

Step 4.2.3

Rewrite the expression.

$\frac{3}{8}$

$\frac{3}{8}$

$\frac{3}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{8}$

Decimal Form:

$0.375$

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