Pre-Algebra Examples

$\frac{25 t^{2} + 3 t + 20}{5}$

Step 1

Split the fraction $\frac{25 t^{2} + 3 t + 20}{5}$ into two fractions.

$\frac{25 t^{2} + 3 t}{5} + \frac{20}{5}$

Step 2

Split the fraction $\frac{25 t^{2} + 3 t}{5}$ into two fractions.

$\frac{25 t^{2}}{5} + \frac{3 t}{5} + \frac{20}{5}$

Step 3

Cancel the common factor of $25$ and $5$ .

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Step 3.1

Factor $5$ out of $25 t^{2}$ .

$\frac{5 (5 t^{2})}{5} + \frac{3 t}{5} + \frac{20}{5}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $5$ out of $5$ .

$\frac{5 (5 t^{2})}{5 (1)} + \frac{3 t}{5} + \frac{20}{5}$

Step 3.2.2

Cancel the common factor.

$\frac{5 (5 t^{2})}{5 \cdot 1} + \frac{3 t}{5} + \frac{20}{5}$

Step 3.2.3

Rewrite the expression.

$\frac{5 t^{2}}{1} + \frac{3 t}{5} + \frac{20}{5}$

Step 3.2.4

Divide $5 t^{2}$ by $1$ .

$5 t^{2} + \frac{3 t}{5} + \frac{20}{5}$

Step 4

Divide $20$ by $5$ .

$5 t^{2} + \frac{3 t}{5} + 4$