Basic Math Examples

$\frac{4 t}{8 t + 4} \cdot \frac{14 t + 7}{6}$

Step 1

Factor $4$ out of $8 t + 4$ .

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Step 1.1

Factor $4$ out of $8 t$ .

$\frac{4 t}{4 (2 t) + 4} \cdot \frac{14 t + 7}{6}$

Step 1.2

Factor $4$ out of $4$ .

$\frac{4 t}{4 (2 t) + 4 (1)} \cdot \frac{14 t + 7}{6}$

Step 1.3

Factor $4$ out of $4 (2 t) + 4 (1)$ .

$\frac{4 t}{4 (2 t + 1)} \cdot \frac{14 t + 7}{6}$

Step 2

Factor $7$ out of $14 t + 7$ .

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Step 2.1

Factor $7$ out of $14 t$ .

$\frac{4 t}{4 (2 t + 1)} \cdot \frac{7 (2 t) + 7}{6}$

Step 2.2

Factor $7$ out of $7$ .

$\frac{4 t}{4 (2 t + 1)} \cdot \frac{7 (2 t) + 7 (1)}{6}$

Step 2.3

Factor $7$ out of $7 (2 t) + 7 (1)$ .

$\frac{4 t}{4 (2 t + 1)} \cdot \frac{7 (2 t + 1)}{6}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4 t$ .

$\frac{2 (2 t)}{4 (2 t + 1)} \cdot \frac{7 (2 t + 1)}{6}$

Step 3.2

Factor $2$ out of $6$ .

$\frac{2 (2 t)}{4 (2 t + 1)} \cdot \frac{7 (2 t + 1)}{2 (3)}$

Step 3.3

Cancel the common factor.

$\frac{2 (2 t)}{4 (2 t + 1)} \cdot \frac{7 (2 t + 1)}{2 \cdot 3}$

Step 3.4

Rewrite the expression.

$\frac{2 t}{4 (2 t + 1)} \cdot \frac{7 (2 t + 1)}{3}$

Step 4

Cancel the common factor of $2 t + 1$ .

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Step 4.1

Factor $2 t + 1$ out of $4 (2 t + 1)$ .

$\frac{2 t}{(2 t + 1) \cdot 4} \cdot \frac{7 (2 t + 1)}{3}$

Step 4.2

Factor $2 t + 1$ out of $7 (2 t + 1)$ .

$\frac{2 t}{(2 t + 1) \cdot 4} \cdot \frac{(2 t + 1) \cdot 7}{3}$

Step 4.3

Cancel the common factor.

$\frac{2 t}{(2 t + 1) \cdot 4} \cdot \frac{(2 t + 1) \cdot 7}{3}$

Step 4.4

Rewrite the expression.

$\frac{2 t}{4} \cdot \frac{7}{3}$

Step 5

Multiply $\frac{2 t}{4}$ by $\frac{7}{3}$ .

$\frac{2 t \cdot 7}{4 \cdot 3}$

Step 6

Multiply.

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Step 6.1

Multiply $7$ by $2$ .

$\frac{14 t}{4 \cdot 3}$

Step 6.2

Multiply $4$ by $3$ .

$\frac{14 t}{12}$

Step 7

Cancel the common factor of $14$ and $12$ .

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Step 7.1

Factor $2$ out of $14 t$ .

$\frac{2 (7 t)}{12}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $2$ out of $12$ .

$\frac{2 (7 t)}{2 (6)}$

Step 7.2.2

Cancel the common factor.

$\frac{2 (7 t)}{2 \cdot 6}$

Step 7.2.3

Rewrite the expression.

$\frac{7 t}{6}$