Algebra Examples

$\frac{5 (3 \cdot 7^{15} - 19 \cdot 7^{14})}{7^{16} + 3 \cdot 7^{15}}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Raise $7$ to the power of $15$ .

$\frac{5 (3 \cdot 4747561509943 - 19 \cdot 7^{14})}{7^{16} + 3 \cdot 7^{15}}$

Step 1.2

Multiply $3$ by $4747561509943$ .

$\frac{5 (14242684529829 - 19 \cdot 7^{14})}{7^{16} + 3 \cdot 7^{15}}$

Step 1.3

Raise $7$ to the power of $14$ .

$\frac{5 (14242684529829 - 19 \cdot 678223072849)}{7^{16} + 3 \cdot 7^{15}}$

Step 1.4

Multiply $- 19$ by $678223072849$ .

$\frac{5 (14242684529829 - 12886238384131)}{7^{16} + 3 \cdot 7^{15}}$

Step 1.5

Subtract $12886238384131$ from $14242684529829$ .

$\frac{5 \cdot 1356446145698}{7^{16} + 3 \cdot 7^{15}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Raise $7$ to the power of $16$ .

$\frac{5 \cdot 1356446145698}{33232930569601 + 3 \cdot 7^{15}}$

Step 2.2

Raise $7$ to the power of $15$ .

$\frac{5 \cdot 1356446145698}{33232930569601 + 3 \cdot 4747561509943}$

Step 2.3

Multiply $3$ by $4747561509943$ .

$\frac{5 \cdot 1356446145698}{33232930569601 + 14242684529829}$

Step 2.4

Add $33232930569601$ and $14242684529829$ .

$\frac{5 \cdot 1356446145698}{47475615099430}$

Step 3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 3.1

Multiply $5$ by $1356446145698$ .

$\frac{6782230728490}{47475615099430}$

Step 3.2

Cancel the common factor of $6782230728490$ and $47475615099430$ .

Tap for more steps...

Step 3.2.1

Factor $6782230728490$ out of $6782230728490$ .

$\frac{6782230728490 (1)}{47475615099430}$

Step 3.2.2

Cancel the common factors.

Tap for more steps...

Step 3.2.2.1

Factor $6782230728490$ out of $47475615099430$ .

$\frac{6782230728490 \cdot 1}{6782230728490 \cdot 7}$

Step 3.2.2.2

Cancel the common factor.

$\frac{6782230728490 \cdot 1}{6782230728490 \cdot 7}$

Step 3.2.2.3

Rewrite the expression.

$\frac{1}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{7}$

Decimal Form:

$0.\overline{142857}$