Basic Math Examples

$1 \frac{2}{9} \cdot (t o^{3}) \cdot \frac{1}{3}$

Step 1

Convert $1 \frac{2}{9}$ to an improper fraction.

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Step 1.1

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

$(1 + \frac{2}{9}) \cdot (t o^{3}) \cdot \frac{1}{3}$

Step 1.2

Add $1$ and $\frac{2}{9}$ .

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Step 1.2.1

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

$(\frac{9}{9} + \frac{2}{9}) \cdot (t o^{3}) \cdot \frac{1}{3}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{9 + 2}{9} \cdot (t o^{3}) \cdot \frac{1}{3}$

Step 1.2.3

Add $9$ and $2$ .

$\frac{11}{9} \cdot (t o^{3}) \cdot \frac{1}{3}$

Step 2

Multiply $\frac{11}{9} (t o^{3})$ .

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Step 2.1

Combine $t$ and $\frac{11}{9}$ .

$\frac{t \cdot 11}{9} o^{3} \cdot \frac{1}{3}$

Step 2.2

Combine $\frac{t \cdot 11}{9}$ and $o^{3}$ .

$\frac{t \cdot 11 o^{3}}{9} \cdot \frac{1}{3}$

Step 3

Combine.

$\frac{t \cdot 11 o^{3} \cdot 1}{9 \cdot 3}$

Step 4

Multiply.

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Step 4.1

Multiply $t$ by $1$ .

$\frac{11 o^{3} \cdot t}{9 \cdot 3}$

Step 4.2

Multiply $9$ by $3$ .

$\frac{11 o^{3} t}{27}$