Algebra Examples

$\frac{\frac{3}{2 x^{2}}}{\frac{10}{7 x^{2}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{3}{2 x^{2}} \cdot \frac{7 x^{2}}{10}$

Step 2

Simplify terms.

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Step 2.1

Combine.

$\frac{3 (7 x^{2})}{2 x^{2} \cdot 10}$

Step 2.2

Cancel the common factor of $x^{2}$ .

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Step 2.2.1

Cancel the common factor.

$\frac{3 (7 x^{2})}{2 x^{2} \cdot 10}$

Step 2.2.2

Rewrite the expression.

$\frac{3 \cdot (7)}{2 \cdot 10}$

Step 3

Multiply $3$ by $7$ .

$\frac{21}{2 \cdot 10}$

Step 4

Multiply $2$ by $10$ .

$\frac{21}{20}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{20}$

Decimal Form:

$1.05$

Mixed Number Form:

$1 \frac{1}{20}$