Basic Math Examples

$\frac{4}{3} + \frac{2}{5} \cdot 60 - \frac{1}{3} \cdot \frac{2}{3}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $5$ .

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Step 1.1.1

Factor $5$ out of $60$ .

$\frac{4}{3} + \frac{2}{5} \cdot (5 (12)) - \frac{1}{3} \cdot \frac{2}{3}$

Step 1.1.2

Cancel the common factor.

$\frac{4}{3} + \frac{2}{5} \cdot (5 \cdot 12) - \frac{1}{3} \cdot \frac{2}{3}$

Step 1.1.3

Rewrite the expression.

$\frac{4}{3} + 2 \cdot 12 - \frac{1}{3} \cdot \frac{2}{3}$

Step 1.2

Multiply $2$ by $12$ .

$\frac{4}{3} + 24 - \frac{1}{3} \cdot \frac{2}{3}$

Step 1.3

Multiply $- \frac{1}{3} \cdot \frac{2}{3}$ .

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Step 1.3.1

Multiply $\frac{2}{3}$ by $\frac{1}{3}$ .

$\frac{4}{3} + 24 - \frac{2}{3 \cdot 3}$

Step 1.3.2

Multiply $3$ by $3$ .

$\frac{4}{3} + 24 - \frac{2}{9}$

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{4}{3}$ by $\frac{3}{3}$ .

$\frac{4}{3} \cdot \frac{3}{3} + 24 - \frac{2}{9}$

Step 2.2

Multiply $\frac{4}{3}$ by $\frac{3}{3}$ .

$\frac{4 \cdot 3}{3 \cdot 3} + 24 - \frac{2}{9}$

Step 2.3

Write $24$ as a fraction with denominator $1$ .

$\frac{4 \cdot 3}{3 \cdot 3} + \frac{24}{1} - \frac{2}{9}$

Step 2.4

Multiply $\frac{24}{1}$ by $\frac{9}{9}$ .

$\frac{4 \cdot 3}{3 \cdot 3} + \frac{24}{1} \cdot \frac{9}{9} - \frac{2}{9}$

Step 2.5

Multiply $\frac{24}{1}$ by $\frac{9}{9}$ .

$\frac{4 \cdot 3}{3 \cdot 3} + \frac{24 \cdot 9}{9} - \frac{2}{9}$

Step 2.6

Multiply $3$ by $3$ .

$\frac{4 \cdot 3}{9} + \frac{24 \cdot 9}{9} - \frac{2}{9}$

Step 3

Combine the numerators over the common denominator.

$\frac{4 \cdot 3 + 24 \cdot 9 - 2}{9}$

Step 4

Simplify each term.

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Step 4.1

Multiply $4$ by $3$ .

$\frac{12 + 24 \cdot 9 - 2}{9}$

Step 4.2

Multiply $24$ by $9$ .

$\frac{12 + 216 - 2}{9}$

Step 5

Simplify by adding and subtracting.

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Step 5.1

Add $12$ and $216$ .

$\frac{228 - 2}{9}$

Step 5.2

Subtract $2$ from $228$ .

$\frac{226}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{226}{9}$

Decimal Form:

$25.\overline{1}$

Mixed Number Form:

$25 \frac{1}{9}$