Basic Math Examples

$\frac{3 \frac{1}{3} \cdot 1^{\frac{4}{5}} + 1.5}{0.03}$

Step 1

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

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Step 1.1

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

$\frac{(3 + \frac{1}{3}) \cdot 1^{\frac{4}{5}} + 1.5}{0.03}$

Step 1.2

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

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Step 1.2.1

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

$\frac{(3 \cdot \frac{3}{3} + \frac{1}{3}) \cdot 1^{\frac{4}{5}} + 1.5}{0.03}$

Step 1.2.2

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

$\frac{(\frac{3 \cdot 3}{3} + \frac{1}{3}) \cdot 1^{\frac{4}{5}} + 1.5}{0.03}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{\frac{3 \cdot 3 + 1}{3} \cdot 1^{\frac{4}{5}} + 1.5}{0.03}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $3$ .

$\frac{\frac{9 + 1}{3} \cdot 1^{\frac{4}{5}} + 1.5}{0.03}$

Step 1.2.4.2

Add $9$ and $1$ .

$\frac{\frac{10}{3} \cdot 1^{\frac{4}{5}} + 1.5}{0.03}$

Step 2

Simplify the numerator.

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Step 2.1

One to any power is one.

$\frac{\frac{10}{3} \cdot 1 + 1.5}{0.03}$

Step 2.2

Multiply $\frac{10}{3}$ by $1$ .

$\frac{\frac{10}{3} + 1.5}{0.03}$

Step 2.3

To write $1.5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{\frac{10}{3} + 1.5 \cdot \frac{3}{3}}{0.03}$

Step 2.4

Combine $1.5$ and $\frac{3}{3}$ .

$\frac{\frac{10}{3} + \frac{1.5 \cdot 3}{3}}{0.03}$

Step 2.5

Combine the numerators over the common denominator.

$\frac{\frac{10 + 1.5 \cdot 3}{3}}{0.03}$

Step 2.6

Rewrite $\frac{10 + 1.5 \cdot 3}{3}$ in a factored form.

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Step 2.6.1

Multiply $1.5$ by $3$ .

$\frac{\frac{10 + 4.5}{3}}{0.03}$

Step 2.6.2

Add $10$ and $4.5$ .

$\frac{\frac{14.5}{3}}{0.03}$

Step 2.6.3

Divide $14.5$ by $3$ .

$\frac{4.8\overline{3}}{0.03}$

Step 3

Divide $4.8\overline{3}$ by $0.03$ .

$161.\overline{1}$