Basic Math Examples

$\frac{9.4 (\sin (w t))}{47 \cdot 10^{3}} + \frac{9.4 (\sin (w t))}{22 \cdot 10^{3}}$

Step 1

Multiply $9.4$ by $\sin (w t)$ .

$\frac{9.4 \sin (w t)}{47 \cdot 10^{3}} + \frac{9.4 \sin (w t)}{22 \cdot 10^{3}}$

Step 2

To write $\frac{9.4 \sin (w t)}{47 \cdot 10^{3}}$ as a fraction with a common denominator, multiply by $\frac{22}{22}$ .

$\frac{9.4 \sin (w t)}{47 \cdot 10^{3}} \cdot \frac{22}{22} + \frac{9.4 \sin (w t)}{22 \cdot 10^{3}}$

Step 3

To write $\frac{9.4 \sin (w t)}{22 \cdot 10^{3}}$ as a fraction with a common denominator, multiply by $\frac{47}{47}$ .

$\frac{9.4 \sin (w t)}{47 \cdot 10^{3}} \cdot \frac{22}{22} + \frac{9.4 \sin (w t)}{22 \cdot 10^{3}} \cdot \frac{47}{47}$

Step 4

Write each expression with a common denominator of $1034 \cdot 10^{3}$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{9.4 \sin (w t)}{47 \cdot 10^{3}}$ by $\frac{22}{22}$ .

$\frac{9.4 \sin (w t) \cdot 22}{47 \cdot 10^{3} \cdot 22} + \frac{9.4 \sin (w t)}{22 \cdot 10^{3}} \cdot \frac{47}{47}$

Step 4.2

Multiply $22$ by $47$ .

$\frac{9.4 \sin (w t) \cdot 22}{1034 \cdot 10^{3}} + \frac{9.4 \sin (w t)}{22 \cdot 10^{3}} \cdot \frac{47}{47}$

Step 4.3

Multiply $\frac{9.4 \sin (w t)}{22 \cdot 10^{3}}$ by $\frac{47}{47}$ .

$\frac{9.4 \sin (w t) \cdot 22}{1034 \cdot 10^{3}} + \frac{9.4 \sin (w t) \cdot 47}{22 \cdot 10^{3} \cdot 47}$

Step 4.4

Multiply $47$ by $22$ .

$\frac{9.4 \sin (w t) \cdot 22}{1034 \cdot 10^{3}} + \frac{9.4 \sin (w t) \cdot 47}{1034 \cdot 10^{3}}$

Step 5

Combine the numerators over the common denominator.

$\frac{9.4 \sin (w t) \cdot 22 + 9.4 \sin (w t) \cdot 47}{1034 \cdot 10^{3}}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $22$ by $9.4$ .

$\frac{206.8 \sin (w t) + 9.4 \sin (w t) \cdot 47}{1034 \cdot 10^{3}}$

Step 6.2

Multiply $47$ by $9.4$ .

$\frac{206.8 \sin (w t) + 441.8 \sin (w t)}{1034 \cdot 10^{3}}$

Step 6.3

Add $206.8 \sin (w t)$ and $441.8 \sin (w t)$ .

$\frac{648.6 \sin (w t)}{1034 \cdot 10^{3}}$