Basic Math Examples

$10.6 y + \frac{1}{{(1 + y)}^{20}}$

Step 1

To write $10.6 y$ as a fraction with a common denominator, multiply by $\frac{{(1 + y)}^{20}}{{(1 + y)}^{20}}$ .

$\frac{10.6 y {(1 + y)}^{20}}{{(1 + y)}^{20}} + \frac{1}{{(1 + y)}^{20}}$

Step 2

Combine the numerators over the common denominator.

$\frac{10.6 y {(1 + y)}^{20} + 1}{{(1 + y)}^{20}}$

Step 3

Factor $0.2$ out of $10.6 y {(1 + y)}^{20} + 1$ .

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Step 3.1

Reorder $1$ and $y$ .

$\frac{10.6 y {(y + 1)}^{20} + 1}{{(1 + y)}^{20}}$

Step 3.2

Factor $0.2$ out of $10.6 y {(y + 1)}^{20}$ .

$\frac{0.2 (53 y {(y + 1)}^{20}) + 1}{{(1 + y)}^{20}}$

Step 3.3

Factor $0.2$ out of $1$ .

$\frac{0.2 (53 y {(y + 1)}^{20}) + 0.2 (5)}{{(1 + y)}^{20}}$

Step 3.4

Factor $0.2$ out of $0.2 (53 y {(y + 1)}^{20}) + 0.2 (5)$ .

$\frac{0.2 (53 y {(y + 1)}^{20} + 5)}{{(1 + y)}^{20}}$