Basic Math Examples

\frac{\frac{- 77}{27}}{\frac{49}{33}}

$\frac{\frac{- 77}{27}}{\frac{49}{33}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{- 77}{27} \cdot \frac{33}{49}$

Step 2

Cancel the common factor of

$7$ .

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Step 2.1

Factor

$7$ out of

$- 77$ .

$\frac{7 (- 11)}{27} \cdot \frac{33}{49}$

Step 2.2

Factor

$7$ out of

$49$ .

$\frac{7 \cdot - 11}{27} \cdot \frac{33}{7 \cdot 7}$

Step 2.3

Cancel the common factor.

$\frac{7 \cdot - 11}{27} \cdot \frac{33}{7 \cdot 7}$

Step 2.4

Rewrite the expression.

$\frac{- 11}{27} \cdot \frac{33}{7}$

Step 3

Cancel the common factor of

$3$ .

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Step 3.1

Factor

$3$ out of

$27$ .

$\frac{- 11}{3 (9)} \cdot \frac{33}{7}$

Step 3.2

Factor

$3$ out of

$33$ .

$\frac{- 11}{3 \cdot 9} \cdot \frac{3 \cdot 11}{7}$

Step 3.3

Cancel the common factor.

$\frac{- 11}{3 \cdot 9} \cdot \frac{3 \cdot 11}{7}$

Step 3.4

Rewrite the expression.

$\frac{- 11}{9} \cdot \frac{11}{7}$

Step 4

Multiply

$\frac{- 11}{9}$ by

$\frac{11}{7}$ .

$\frac{- 11 \cdot 11}{9 \cdot 7}$

Step 5

Simplify the expression.

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Step 5.1

Multiply

$- 11$ by

$11$ .

$\frac{- 121}{9 \cdot 7}$

Step 5.2

Multiply

$9$ by

$7$ .

$\frac{- 121}{63}$

Step 5.3

Move the negative in front of the fraction.

$- \frac{121}{63}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{121}{63}$

Decimal Form:

$- 1.\overline{920634}$

Mixed Number Form:

$- 1 \frac{58}{63}$