Basic Math Examples

$- 9.6 \div (- 3 \frac{1}{5})$

Step 1

Convert $3 \frac{1}{5}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$- 9.6 \div (- (3 + \frac{1}{5}))$

Step 1.2

Add $3$ and $\frac{1}{5}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- 9.6 \div (- (3 \cdot \frac{5}{5} + \frac{1}{5}))$

Step 1.2.2

Combine $3$ and $\frac{5}{5}$ .

$- 9.6 \div (- (\frac{3 \cdot 5}{5} + \frac{1}{5}))$

Step 1.2.3

Combine the numerators over the common denominator.

$- 9.6 \div (- \frac{3 \cdot 5 + 1}{5})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $5$ .

$- 9.6 \div (- \frac{15 + 1}{5})$

Step 1.2.4.2

Add $15$ and $1$ .

$- 9.6 \div (- \frac{16}{5})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$- 9.6 (- \frac{5}{16})$

Step 3

Multiply $- 9.6 (- \frac{5}{16})$ .

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Step 3.1

Multiply $- 1$ by $- 9.6$ .

$9.6 (\frac{5}{16})$

Step 3.2

Combine $9.6$ and $\frac{5}{16}$ .

$\frac{9.6 \cdot 5}{16}$

Step 3.3

Multiply $9.6$ by $5$ .

$\frac{48}{16}$

Step 4

Divide $48$ by $16$ .

$3$