Basic Math Examples

$\frac{\frac{7 \cdot - 21}{3}}{\frac{3 \cdot - 9}{2}}$

Step 1

Cancel the common factor of $- 21$ and $3$ .

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Step 1.1

Factor $3$ out of $7 \cdot - 21$ .

$\frac{\frac{3 (7 \cdot - 7)}{3}}{\frac{3 \cdot - 9}{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $3$ .

$\frac{\frac{3 (7 \cdot - 7)}{3 (1)}}{\frac{3 \cdot - 9}{2}}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{3 (7 \cdot - 7)}{3 \cdot 1}}{\frac{3 \cdot - 9}{2}}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{7 \cdot - 7}{1}}{\frac{3 \cdot - 9}{2}}$

Step 1.2.4

Divide $7 \cdot - 7$ by $1$ .

$\frac{7 \cdot - 7}{\frac{3 \cdot - 9}{2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$7 \cdot - 7 \frac{2}{3 \cdot - 9}$

Step 3

Multiply $7$ by $- 7$ .

$- 49 \frac{2}{3 \cdot - 9}$

Step 4

Multiply $3$ by $- 9$ .

$- 49 (\frac{2}{- 27})$

Step 5

Move the negative in front of the fraction.

$- 49 (- \frac{2}{27})$

Step 6

Multiply $- 49 (- \frac{2}{27})$ .

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Step 6.1

Multiply $- 1$ by $- 49$ .

$49 (\frac{2}{27})$

Step 6.2

Combine $49$ and $\frac{2}{27}$ .

$\frac{49 \cdot 2}{27}$

Step 6.3

Multiply $49$ by $2$ .

$\frac{98}{27}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{98}{27}$

Decimal Form:

$3.\overline{629}$

Mixed Number Form:

$3 \frac{17}{27}$