Basic Math Examples

$- \frac{15}{43} \div (- 5)$

Step 1

Rewrite the division as a fraction.

$\frac{- \frac{15}{43}}{- 5}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- \frac{15}{43} \cdot \frac{1}{- 5}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Move the leading negative in $- \frac{15}{43}$ into the numerator.

$\frac{- 15}{43} \cdot \frac{1}{- 5}$

Step 3.2

Factor $5$ out of $- 15$ .

$\frac{5 (- 3)}{43} \cdot \frac{1}{- 5}$

Step 3.3

Factor $5$ out of $- 5$ .

$\frac{5 \cdot - 3}{43} \cdot \frac{1}{5 \cdot - 1}$

Step 3.4

Cancel the common factor.

$\frac{5 \cdot - 3}{43} \cdot \frac{1}{5 \cdot - 1}$

Step 3.5

Rewrite the expression.

$\frac{- 3}{43} \cdot \frac{1}{- 1}$

Step 4

Multiply $\frac{- 3}{43}$ by $\frac{1}{- 1}$ .

$\frac{- 3}{43 \cdot - 1}$

Step 5

Multiply $43$ by $- 1$ .

$\frac{- 3}{- 43}$

Step 6

Dividing two negative values results in a positive value.

$\frac{3}{43}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{43}$

Decimal Form:

$0.06976744 \dots$