Basic Math Examples

$y = \frac{2}{7} \cdot \frac{5}{8} \cdot \frac{14}{15}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $8$ .

$y = \frac{2}{7} \cdot \frac{5}{2 (4)} \cdot \frac{14}{15}$

Step 1.2

Cancel the common factor.

$y = \frac{2}{7} \cdot \frac{5}{2 \cdot 4} \cdot \frac{14}{15}$

Step 1.3

Rewrite the expression.

$y = \frac{1}{7} \cdot \frac{5}{4} \cdot \frac{14}{15}$

Step 2

Multiply $\frac{1}{7}$ by $\frac{5}{4}$ .

$y = \frac{5}{7 \cdot 4} \cdot \frac{14}{15}$

Step 3

Multiply $7$ by $4$ .

$y = \frac{5}{28} \cdot \frac{14}{15}$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Factor $5$ out of $15$ .

$y = \frac{5}{28} \cdot \frac{14}{5 (3)}$

Step 4.2

Cancel the common factor.

$y = \frac{5}{28} \cdot \frac{14}{5 \cdot 3}$

Step 4.3

Rewrite the expression.

$y = \frac{1}{28} \cdot \frac{14}{3}$

Step 5

Cancel the common factor of $14$ .

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Step 5.1

Factor $14$ out of $28$ .

$y = \frac{1}{14 (2)} \cdot \frac{14}{3}$

Step 5.2

Cancel the common factor.

$y = \frac{1}{14 \cdot 2} \cdot \frac{14}{3}$

Step 5.3

Rewrite the expression.

$y = \frac{1}{2} \cdot \frac{1}{3}$

Step 6

Multiply $\frac{1}{2}$ by $\frac{1}{3}$ .

$y = \frac{1}{2 \cdot 3}$

Step 7

Multiply $2$ by $3$ .

$y = \frac{1}{6}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$y = \frac{1}{6}$

Decimal Form:

$y = 0.1\overline{6}$