Basic Math Examples

$- \frac{\frac{15}{7}}{\frac{18}{35}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$- (\frac{15}{7} \cdot \frac{35}{18})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $15$ .

$- (\frac{3 (5)}{7} \cdot \frac{35}{18})$

Step 2.2

Factor $3$ out of $18$ .

$- (\frac{3 \cdot 5}{7} \cdot \frac{35}{3 \cdot 6})$

Step 2.3

Cancel the common factor.

$- (\frac{3 \cdot 5}{7} \cdot \frac{35}{3 \cdot 6})$

Step 2.4

Rewrite the expression.

$- (\frac{5}{7} \cdot \frac{35}{6})$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Factor $7$ out of $35$ .

$- (\frac{5}{7} \cdot \frac{7 (5)}{6})$

Step 3.2

Cancel the common factor.

$- (\frac{5}{7} \cdot \frac{7 \cdot 5}{6})$

Step 3.3

Rewrite the expression.

$- (5 (\frac{5}{6}))$

Step 4

Combine $5$ and $\frac{5}{6}$ .

$- \frac{5 \cdot 5}{6}$

Step 5

Multiply $5$ by $5$ .

$- \frac{25}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{25}{6}$

Decimal Form:

$- 4.1\overline{6}$

Mixed Number Form:

$- 4 \frac{1}{6}$