Basic Math Examples

$204 \cdot \frac{29}{68} \cdot \frac{7}{9}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $204 \cdot \frac{29}{68}$ .

$3 (68 \cdot \frac{29}{68}) \cdot \frac{7}{9}$

Step 1.2

Factor $3$ out of $9$ .

$3 (68 \cdot \frac{29}{68}) \cdot \frac{7}{3 (3)}$

Step 1.3

Cancel the common factor.

$3 (68 \cdot \frac{29}{68}) \cdot \frac{7}{3 \cdot 3}$

Step 1.4

Rewrite the expression.

$68 \cdot \frac{29}{68} \cdot \frac{7}{3}$

$68 \cdot \frac{29}{68} \cdot \frac{7}{3}$

Step 2

Combine $68$ and $\frac{29}{68}$ .

$\frac{68 \cdot 29}{68} \cdot \frac{7}{3}$

Step 3

Multiply $68$ by $29$ .

$\frac{1972}{68} \cdot \frac{7}{3}$

Step 4

Multiply $\frac{1972}{68}$ by $\frac{7}{3}$ .

$\frac{1972 \cdot 7}{68 \cdot 3}$

Step 5

Multiply.

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Step 5.1

Multiply $1972$ by $7$ .

$\frac{13804}{68 \cdot 3}$

Step 5.2

Multiply $68$ by $3$ .

$\frac{13804}{204}$

$\frac{13804}{204}$

Step 6

Cancel the common factor of $13804$ and $204$ .

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Step 6.1

Factor $68$ out of $13804$ .

$\frac{68 (203)}{204}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $68$ out of $204$ .

$\frac{68 \cdot 203}{68 \cdot 3}$

Step 6.2.2

Cancel the common factor.

$\frac{68 \cdot 203}{68 \cdot 3}$

Step 6.2.3

Rewrite the expression.

$\frac{203}{3}$

$\frac{203}{3}$

$\frac{203}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{203}{3}$

Decimal Form:

$67.\overline{6}$

Mixed Number Form:

$67 \frac{2}{3}$

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