Pre-Algebra Examples

$\frac{16 u^{3} + 7 u^{2}}{2 u^{2}}$

Step 1

Factor $u^{2}$ out of $16 u^{3} + 7 u^{2}$ .

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Step 1.1

Factor $u^{2}$ out of $16 u^{3}$ .

$\frac{u^{2} (16 u) + 7 u^{2}}{2 u^{2}}$

Step 1.2

Factor $u^{2}$ out of $7 u^{2}$ .

$\frac{u^{2} (16 u) + u^{2} \cdot 7}{2 u^{2}}$

Step 1.3

Factor $u^{2}$ out of $u^{2} (16 u) + u^{2} \cdot 7$ .

$\frac{u^{2} (16 u + 7)}{2 u^{2}}$

Step 2

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

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Step 2.1

Cancel the common factor.

$\frac{u^{2} (16 u + 7)}{2 u^{2}}$

Step 2.2

Rewrite the expression.

$\frac{16 u + 7}{2}$

Step 3

Split the fraction $\frac{16 u + 7}{2}$ into two fractions.

$\frac{16 u}{2} + \frac{7}{2}$

Step 4

Cancel the common factor of $16$ and $2$ .

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Step 4.1

Factor $2$ out of $16 u$ .

$\frac{2 (8 u)}{2} + \frac{7}{2}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $2$ .

$\frac{2 (8 u)}{2 (1)} + \frac{7}{2}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (8 u)}{2 \cdot 1} + \frac{7}{2}$

Step 4.2.3

Rewrite the expression.

$\frac{8 u}{1} + \frac{7}{2}$

Step 4.2.4

Divide $8 u$ by $1$ .

$8 u + \frac{7}{2}$