Basic Math Examples

$\frac{(150) {(96)}^{3}}{48 (12000000) (12)}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $150$ and $48$ .

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Step 1.1.1

Factor $6$ out of $(150) {(96)}^{3}$ .

$\frac{6 ((25) {(96)}^{3})}{48 (12000000) (12)}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $6$ out of $48 (12000000) (12)$ .

$\frac{6 ((25) {(96)}^{3})}{6 (8 \cdot 12000000 \cdot 12)}$

Step 1.1.2.2

Cancel the common factor.

$\frac{6 ((25) {(96)}^{3})}{6 (8 \cdot 12000000 \cdot 12)}$

Step 1.1.2.3

Rewrite the expression.

$\frac{(25) {(96)}^{3}}{8 \cdot 12000000 \cdot 12}$

Step 1.2

Cancel the common factor of $25$ and $12000000$ .

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Step 1.2.1

Factor $25$ out of $(25) {(96)}^{3}$ .

$\frac{(25) ({(96)}^{3})}{8 \cdot 12000000 \cdot 12}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $25$ out of $8 \cdot 12000000 \cdot 12$ .

$\frac{(25) ({(96)}^{3})}{25 (8 \cdot 480000 \cdot 12)}$

Step 1.2.2.2

Cancel the common factor.

$\frac{25 {(96)}^{3}}{25 (8 \cdot 480000 \cdot 12)}$

Step 1.2.2.3

Rewrite the expression.

$\frac{{(96)}^{3}}{8 \cdot 480000 \cdot 12}$

Step 1.3

Raise $96$ to the power of $3$ .

$\frac{884736}{8 \cdot 480000 \cdot 12}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $8$ by $480000$ .

$\frac{884736}{3840000 \cdot 12}$

Step 2.2

Multiply $3840000$ by $12$ .

$\frac{884736}{46080000}$

Step 3

Cancel the common factor of $884736$ and $46080000$ .

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Step 3.1

Factor $73728$ out of $884736$ .

$\frac{73728 (12)}{46080000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $73728$ out of $46080000$ .

$\frac{73728 \cdot 12}{73728 \cdot 625}$

Step 3.2.2

Cancel the common factor.

$\frac{73728 \cdot 12}{73728 \cdot 625}$

Step 3.2.3

Rewrite the expression.

$\frac{12}{625}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{625}$

Decimal Form:

$0.0192$