Basic Math Examples

$\frac{5}{6} s + \frac{3}{4} - \frac{2}{11} s$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{5}{6}$ and $s$ .

$\frac{5 s}{6} + \frac{3}{4} - \frac{2}{11} s$

Step 1.2

Combine $s$ and $\frac{2}{11}$ .

$\frac{5 s}{6} + \frac{3}{4} - \frac{s \cdot 2}{11}$

Step 1.3

Move $2$ to the left of $s$ .

$\frac{5 s}{6} + \frac{3}{4} - \frac{2 s}{11}$

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{5 s}{6}$ by $\frac{22}{22}$ .

$\frac{5 s}{6} \cdot \frac{22}{22} + \frac{3}{4} - \frac{2 s}{11}$

Step 2.2

Multiply $\frac{5 s}{6}$ by $\frac{22}{22}$ .

$\frac{5 s \cdot 22}{6 \cdot 22} + \frac{3}{4} - \frac{2 s}{11}$

Step 2.3

Multiply $\frac{3}{4}$ by $\frac{33}{33}$ .

$\frac{5 s \cdot 22}{6 \cdot 22} + \frac{3}{4} \cdot \frac{33}{33} - \frac{2 s}{11}$

Step 2.4

Multiply $\frac{3}{4}$ by $\frac{33}{33}$ .

$\frac{5 s \cdot 22}{6 \cdot 22} + \frac{3 \cdot 33}{4 \cdot 33} - \frac{2 s}{11}$

Step 2.5

Multiply $\frac{2 s}{11}$ by $\frac{12}{12}$ .

$\frac{5 s \cdot 22}{6 \cdot 22} + \frac{3 \cdot 33}{4 \cdot 33} - (\frac{2 s}{11} \cdot \frac{12}{12})$

Step 2.6

Multiply $\frac{2 s}{11}$ by $\frac{12}{12}$ .

$\frac{5 s \cdot 22}{6 \cdot 22} + \frac{3 \cdot 33}{4 \cdot 33} - \frac{2 s \cdot 12}{11 \cdot 12}$

Step 2.7

Multiply $6$ by $22$ .

$\frac{5 s \cdot 22}{132} + \frac{3 \cdot 33}{4 \cdot 33} - \frac{2 s \cdot 12}{11 \cdot 12}$

Step 2.8

Multiply $4$ by $33$ .

$\frac{5 s \cdot 22}{132} + \frac{3 \cdot 33}{132} - \frac{2 s \cdot 12}{11 \cdot 12}$

Step 2.9

Multiply $11$ by $12$ .

$\frac{5 s \cdot 22}{132} + \frac{3 \cdot 33}{132} - \frac{2 s \cdot 12}{132}$

Step 3

Combine the numerators over the common denominator.

$\frac{5 s \cdot 22 + 3 \cdot 33 - 2 s \cdot 12}{132}$

Step 4

Simplify each term.

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Step 4.1

Multiply $22$ by $5$ .

$\frac{110 s + 3 \cdot 33 - 2 s \cdot 12}{132}$

Step 4.2

Multiply $3$ by $33$ .

$\frac{110 s + 99 - 2 s \cdot 12}{132}$

Step 4.3

Multiply $12$ by $- 2$ .

$\frac{110 s + 99 - 24 s}{132}$

Step 5

Subtract $24 s$ from $110 s$ .

$\frac{86 s + 99}{132}$