Basic Math Examples

$(\frac{7}{s} + \frac{2}{t}) \div s t$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{7}{s} + \frac{2}{t}}{s t}$

Step 2

Simplify the numerator.

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Step 2.1

To write $\frac{7}{s}$ as a fraction with a common denominator, multiply by $\frac{t}{t}$ .

$\frac{\frac{7}{s} \cdot \frac{t}{t} + \frac{2}{t}}{s t}$

Step 2.2

To write $\frac{2}{t}$ as a fraction with a common denominator, multiply by $\frac{s}{s}$ .

$\frac{\frac{7}{s} \cdot \frac{t}{t} + \frac{2}{t} \cdot \frac{s}{s}}{s t}$

Step 2.3

Write each expression with a common denominator of $s t$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.3.1

Multiply $\frac{7}{s}$ by $\frac{t}{t}$ .

$\frac{\frac{7 t}{s t} + \frac{2}{t} \cdot \frac{s}{s}}{s t}$

Step 2.3.2

Multiply $\frac{2}{t}$ by $\frac{s}{s}$ .

$\frac{\frac{7 t}{s t} + \frac{2 s}{t s}}{s t}$

Step 2.3.3

Reorder the factors of $t s$ .

$\frac{\frac{7 t}{s t} + \frac{2 s}{s t}}{s t}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{\frac{7 t + 2 s}{s t}}{s t}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{7 t + 2 s}{s t} \cdot \frac{1}{s t}$

Step 4

Multiply $\frac{7 t + 2 s}{s t} \cdot \frac{1}{s t}$ .

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Step 4.1

Multiply $\frac{7 t + 2 s}{s t}$ by $\frac{1}{s t}$ .

$\frac{7 t + 2 s}{s t (s t)}$

Step 4.2

Raise $s$ to the power of $1$ .

$\frac{7 t + 2 s}{s^{1} s t \cdot t}$

Step 4.3

Raise $s$ to the power of $1$ .

$\frac{7 t + 2 s}{s^{1} s^{1} t \cdot t}$

Step 4.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{7 t + 2 s}{s^{1 + 1} t \cdot t}$

Step 4.5

Add $1$ and $1$ .

$\frac{7 t + 2 s}{s^{2} t \cdot t}$

Step 4.6

Raise $t$ to the power of $1$ .

$\frac{7 t + 2 s}{s^{2} (t^{1} t)}$

Step 4.7

Raise $t$ to the power of $1$ .

$\frac{7 t + 2 s}{s^{2} (t^{1} t^{1})}$

Step 4.8

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{7 t + 2 s}{s^{2} t^{1 + 1}}$

Step 4.9

Add $1$ and $1$ .

$\frac{7 t + 2 s}{s^{2} t^{2}}$