Pre-Algebra Examples

$\frac{2}{\frac{3}{\frac{9}{10}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$2 \frac{\frac{9}{10}}{3}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$2 (\frac{9}{10} \cdot \frac{1}{3})$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $9$ .

$2 (\frac{3 (3)}{10} \cdot \frac{1}{3})$

Step 3.2

Cancel the common factor.

$2 (\frac{3 \cdot 3}{10} \cdot \frac{1}{3})$

Step 3.3

Rewrite the expression.

$2 (\frac{3}{10})$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $10$ .

$2 \frac{3}{2 (5)}$

Step 4.2

Cancel the common factor.

$2 \frac{3}{2 \cdot 5}$

Step 4.3

Rewrite the expression.

$\frac{3}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{5}$

Decimal Form:

$0.6$