Pre-Algebra Examples

$- \frac{4}{3} \cdot (- \frac{4}{3}) \cdot (- \frac{4}{3}) \cdot \frac{1}{4}$

Step 1

Multiply $- \frac{4}{3} (- \frac{4}{3})$ .

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Step 1.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{4}{3}) \frac{4}{3} \cdot (- \frac{4}{3}) \cdot \frac{1}{4}$

Step 1.2

Multiply $\frac{4}{3}$ by $1$ .

$\frac{4}{3} \cdot \frac{4}{3} \cdot (- \frac{4}{3}) \cdot \frac{1}{4}$

Step 1.3

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

$\frac{4 \cdot 4}{3 \cdot 3} \cdot (- \frac{4}{3}) \cdot \frac{1}{4}$

Step 1.4

Multiply $4$ by $4$ .

$\frac{16}{3 \cdot 3} \cdot (- \frac{4}{3}) \cdot \frac{1}{4}$

Step 1.5

Multiply $3$ by $3$ .

$\frac{16}{9} \cdot (- \frac{4}{3}) \cdot \frac{1}{4}$

Step 2

Multiply $\frac{16}{9} (- \frac{4}{3})$ .

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Step 2.1

Multiply $\frac{16}{9}$ by $\frac{4}{3}$ .

$- \frac{16 \cdot 4}{9 \cdot 3} \cdot \frac{1}{4}$

Step 2.2

Multiply $16$ by $4$ .

$- \frac{64}{9 \cdot 3} \cdot \frac{1}{4}$

Step 2.3

Multiply $9$ by $3$ .

$- \frac{64}{27} \cdot \frac{1}{4}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Move the leading negative in $- \frac{64}{27}$ into the numerator.

$\frac{- 64}{27} \cdot \frac{1}{4}$

Step 3.2

Factor $4$ out of $- 64$ .

$\frac{4 (- 16)}{27} \cdot \frac{1}{4}$

Step 3.3

Cancel the common factor.

$\frac{4 \cdot - 16}{27} \cdot \frac{1}{4}$

Step 3.4

Rewrite the expression.

$\frac{- 16}{27}$

Step 4

Move the negative in front of the fraction.

$- \frac{16}{27}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{16}{27}$

Decimal Form:

$- 0.\overline{592}$