Basic Math Examples

$1 \frac{2}{5} \cdot 1 \frac{2}{1}$

Step 1

Convert $1 \frac{2}{5}$ to an improper fraction.

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Step 1.1

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

$(1 + \frac{2}{5}) \cdot 1 \frac{2}{1}$

Step 1.2

Add $1$ and $\frac{2}{5}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$(\frac{5}{5} + \frac{2}{5}) \cdot 1 \frac{2}{1}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{5 + 2}{5} \cdot 1 \frac{2}{1}$

Step 1.2.3

Add $5$ and $2$ .

$\frac{7}{5} \cdot 1 \frac{2}{1}$

Step 2

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

$\frac{7}{5} \cdot (1 + \frac{2}{1})$

Step 3

Divide $2$ by $1$ .

$\frac{7}{5} \cdot (1 + 2)$

Step 4

Add $1$ and $2$ .

$\frac{7}{5} \cdot 3$

Step 5

Multiply $\frac{7}{5} \cdot 3$ .

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Step 5.1

Combine $\frac{7}{5}$ and $3$ .

$\frac{7 \cdot 3}{5}$

Step 5.2

Multiply $7$ by $3$ .

$\frac{21}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{5}$

Decimal Form:

$4.2$

Mixed Number Form:

$4 \frac{1}{5}$