Basic Math Examples

$\frac{2}{6} \cdot \frac{15}{35} \cdot \frac{7}{10}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $6$ .

$\frac{2}{3 (2)} \cdot \frac{15}{35} \cdot \frac{7}{10}$

Step 1.2

Factor $3$ out of $15$ .

$\frac{2}{3 \cdot 2} \cdot \frac{3 \cdot 5}{35} \cdot \frac{7}{10}$

Step 1.3

Cancel the common factor.

$\frac{2}{3 \cdot 2} \cdot \frac{3 \cdot 5}{35} \cdot \frac{7}{10}$

Step 1.4

Rewrite the expression.

$\frac{2}{2} \cdot \frac{5}{35} \cdot \frac{7}{10}$

Step 2

Multiply $\frac{2}{2}$ by $\frac{5}{35}$ .

$\frac{2 \cdot 5}{2 \cdot 35} \cdot \frac{7}{10}$

Step 3

Multiply.

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Step 3.1

Multiply $2$ by $5$ .

$\frac{10}{2 \cdot 35} \cdot \frac{7}{10}$

Step 3.2

Multiply $2$ by $35$ .

$\frac{10}{70} \cdot \frac{7}{10}$

Step 4

Cancel the common factor of $10$ .

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Step 4.1

Cancel the common factor.

$\frac{10}{70} \cdot \frac{7}{10}$

Step 4.2

Rewrite the expression.

$\frac{1}{70} \cdot 7$

Step 5

Cancel the common factor of $7$ .

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Step 5.1

Factor $7$ out of $70$ .

$\frac{1}{7 (10)} \cdot 7$

Step 5.2

Cancel the common factor.

$\frac{1}{7 \cdot 10} \cdot 7$

Step 5.3

Rewrite the expression.

$\frac{1}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$