Basic Math Examples

$- \frac{15}{10} \div \frac{17}{5} \cdot \frac{3}{5}$

Step 1

Cancel the common factor of $15$ and $10$ .

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Step 1.1

Factor $5$ out of $15$ .

$- \frac{5 (3)}{10} \div \frac{17}{5} \cdot \frac{3}{5}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $10$ .

$- \frac{5 \cdot 3}{5 \cdot 2} \div \frac{17}{5} \cdot \frac{3}{5}$

Step 1.2.2

Cancel the common factor.

$- \frac{5 \cdot 3}{5 \cdot 2} \div \frac{17}{5} \cdot \frac{3}{5}$

Step 1.2.3

Rewrite the expression.

$- \frac{3}{2} \div \frac{17}{5} \cdot \frac{3}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$- \frac{3}{2} \cdot \frac{5}{17} \cdot \frac{3}{5}$

Step 3

Multiply $- \frac{3}{2} \cdot \frac{5}{17}$ .

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Step 3.1

Multiply $\frac{5}{17}$ by $\frac{3}{2}$ .

$- \frac{5 \cdot 3}{17 \cdot 2} \cdot \frac{3}{5}$

Step 3.2

Multiply $5$ by $3$ .

$- \frac{15}{17 \cdot 2} \cdot \frac{3}{5}$

Step 3.3

Multiply $17$ by $2$ .

$- \frac{15}{34} \cdot \frac{3}{5}$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Move the leading negative in $- \frac{15}{34}$ into the numerator.

$\frac{- 15}{34} \cdot \frac{3}{5}$

Step 4.2

Factor $5$ out of $- 15$ .

$\frac{5 (- 3)}{34} \cdot \frac{3}{5}$

Step 4.3

Cancel the common factor.

$\frac{5 \cdot - 3}{34} \cdot \frac{3}{5}$

Step 4.4

Rewrite the expression.

$\frac{- 3}{34} \cdot 3$

Step 5

Combine $\frac{- 3}{34}$ and $3$ .

$\frac{- 3 \cdot 3}{34}$

Step 6

Simplify the expression.

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Step 6.1

Multiply $- 3$ by $3$ .

$\frac{- 9}{34}$

Step 6.2

Move the negative in front of the fraction.

$- \frac{9}{34}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{34}$

Decimal Form:

$- 0.26470588 \dots$