Basic Math Examples

$2 \frac{3}{5} \cdot (- \frac{4}{3})$

Step 1

Convert

$2 \frac{3}{5}$ to an improper fraction.

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Step 1.1

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

$(2 + \frac{3}{5}) \cdot (- \frac{4}{3})$

Step 1.2

Add

$2$ and

$\frac{3}{5}$ .

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Step 1.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$(2 \cdot \frac{5}{5} + \frac{3}{5}) \cdot (- \frac{4}{3})$

Step 1.2.2

Combine

$2$ and

$\frac{5}{5}$ .

$(\frac{2 \cdot 5}{5} + \frac{3}{5}) \cdot (- \frac{4}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 5 + 3}{5} \cdot (- \frac{4}{3})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$5$ .

$\frac{10 + 3}{5} \cdot (- \frac{4}{3})$

Step 1.2.4.2

Add

$10$ and

$3$ .

$\frac{13}{5} \cdot (- \frac{4}{3})$

Step 2

Multiply

$\frac{13}{5} (- \frac{4}{3})$ .

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Step 2.1

Multiply

$\frac{13}{5}$ by

$\frac{4}{3}$ .

$- \frac{13 \cdot 4}{5 \cdot 3}$

Step 2.2

Multiply

$13$ by

$4$ .

$- \frac{52}{5 \cdot 3}$

Step 2.3

Multiply

$5$ by

$3$ .

$- \frac{52}{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{52}{15}$

Decimal Form:

$- 3.4\overline{6}$

Mixed Number Form:

$- 3 \frac{7}{15}$