Basic Math Examples

$- \frac{15}{17} \div \frac{18}{35}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{15}{17} \cdot \frac{35}{18}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{15}{17}$ into the numerator.

$\frac{- 15}{17} \cdot \frac{35}{18}$

Step 2.2

Factor $3$ out of $- 15$ .

$\frac{3 (- 5)}{17} \cdot \frac{35}{18}$

Step 2.3

Factor $3$ out of $18$ .

$\frac{3 \cdot - 5}{17} \cdot \frac{35}{3 \cdot 6}$

Step 2.4

Cancel the common factor.

$\frac{3 \cdot - 5}{17} \cdot \frac{35}{3 \cdot 6}$

Step 2.5

Rewrite the expression.

$\frac{- 5}{17} \cdot \frac{35}{6}$

Step 3

Multiply $\frac{- 5}{17}$ by $\frac{35}{6}$ .

$\frac{- 5 \cdot 35}{17 \cdot 6}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $- 5$ by $35$ .

$\frac{- 175}{17 \cdot 6}$

Step 4.2

Multiply $17$ by $6$ .

$\frac{- 175}{102}$

Step 4.3

Move the negative in front of the fraction.

$- \frac{175}{102}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{175}{102}$

Decimal Form:

$- 1.71568627 \dots$

Mixed Number Form:

$- 1 \frac{73}{102}$