Pre-Algebra Examples

$\frac{25 m^{5}}{\frac{4 m^{4}}{25}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$25 m^{5} \frac{25}{4 m^{4}}$

Step 2

Cancel the common factor of $m^{4}$ .

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Step 2.1

Factor $m^{4}$ out of $25 m^{5}$ .

$m^{4} (25 m) \frac{25}{4 m^{4}}$

Step 2.2

Factor $m^{4}$ out of $4 m^{4}$ .

$m^{4} (25 m) \frac{25}{m^{4} \cdot 4}$

Step 2.3

Cancel the common factor.

$m^{4} (25 m) \frac{25}{m^{4} \cdot 4}$

Step 2.4

Rewrite the expression.

$25 m \frac{25}{4}$

Step 3

Combine $25$ and $\frac{25}{4}$ .

$m \frac{25 \cdot 25}{4}$

Step 4

Multiply $25$ by $25$ .

$m \frac{625}{4}$

Step 5

Combine $m$ and $\frac{625}{4}$ .

$\frac{m \cdot 625}{4}$

Step 6

Move $625$ to the left of $m$ .

$\frac{625 m}{4}$