Algebra Examples

$\frac{7}{3} + 3 {(\frac{2}{3} - \frac{1}{3})}^{2}$

Step 1

Simplify each term.

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Step 1.1

Combine the numerators over the common denominator.

$\frac{7}{3} + 3 {(\frac{2 - 1}{3})}^{2}$

Step 1.2

Subtract $1$ from $2$ .

$\frac{7}{3} + 3 {(\frac{1}{3})}^{2}$

Step 1.3

Apply the product rule to $\frac{1}{3}$ .

$\frac{7}{3} + 3 \frac{1^{2}}{3^{2}}$

Step 1.4

One to any power is one.

$\frac{7}{3} + 3 \frac{1}{3^{2}}$

Step 1.5

Raise $3$ to the power of $2$ .

$\frac{7}{3} + 3 (\frac{1}{9})$

Step 1.6

Cancel the common factor of $3$ .

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Step 1.6.1

Factor $3$ out of $9$ .

$\frac{7}{3} + 3 \frac{1}{3 (3)}$

Step 1.6.2

Cancel the common factor.

$\frac{7}{3} + 3 \frac{1}{3 \cdot 3}$

Step 1.6.3

Rewrite the expression.

$\frac{7}{3} + \frac{1}{3}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{7 + 1}{3}$

Step 2.2

Add $7$ and $1$ .

$\frac{8}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$