Basic Math Examples

$\frac{51}{11} + \frac{19}{22} \cdot (s i m p l i f y)$

Step 1

Cancel the common factor of $i$ .

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Step 1.1

Rewrite $- 22 \cdot i$ as $- 22 i$ .

$\frac{51}{11} + \frac{19}{i (- 22 i)} \cdot (s i m p l i f y)$

Step 1.2

Factor $i$ out of $s i m p l i f y$ .

$\frac{51}{11} + \frac{19}{i (- 22 i)} \cdot (i (s m p l i f y))$

Step 1.3

Cancel the common factor.

$\frac{51}{11} + \frac{19}{i (- 22 i)} \cdot (i (s m p l i f y))$

Step 1.4

Rewrite the expression.

$\frac{51}{11} + \frac{19}{- 22 i} \cdot (s m p l i f y)$

Step 2

Combine $s$ and $\frac{19}{- 22 i}$ .

$\frac{51}{11} + \frac{s \cdot 19}{- 22 i} \cdot (m p l i f y)$

Step 3

Combine $m$ and $\frac{s \cdot 19}{- 22 i}$ .

$\frac{51}{11} + \frac{m (s \cdot 19)}{- 22 i} \cdot (p l i f y)$

Step 4

Combine $p$ and $\frac{m (s \cdot 19)}{- 22 i}$ .

$\frac{51}{11} + \frac{p (m (s \cdot 19))}{- 22 i} \cdot (l i f y)$

Step 5

Combine $l$ and $\frac{p (m (s \cdot 19))}{- 22 i}$ .

$\frac{51}{11} + \frac{l (p (m (s \cdot 19)))}{- 22 i} \cdot (i f y)$

Step 6

Combine $i$ and $\frac{l (p (m (s \cdot 19)))}{- 22 i}$ .

$\frac{51}{11} + \frac{i (l (p (m (s \cdot 19))))}{- 22 i} \cdot (f y)$

Step 7

Combine $f$ and $\frac{i (l (p (m (s \cdot 19))))}{- 22 i}$ .

$\frac{51}{11} + \frac{f (i (l (p (m (s \cdot 19)))))}{- 22 i} \cdot y$

Step 8

Combine $\frac{f (i (l (p (m (s \cdot 19)))))}{- 22 i}$ and $y$ .

$\frac{51}{11} + \frac{f (i (l (p (m (s \cdot 19))))) y}{- 22 i}$

Step 9

Cancel the common factor of $i$ .

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Step 9.1

Cancel the common factor.

$\frac{51}{11} + \frac{f (i (l (p (m (s \cdot 19))))) y}{- 22 i}$

Step 9.2

Rewrite the expression.

$\frac{51}{11} + \frac{f (l (p (m (s \cdot 19)))) y}{- 22}$

Step 10

Move $19$ to the left of $f l p m s$ .

$\frac{51}{11} + \frac{19 \cdot (f l p m s) y}{- 22}$

Step 11

Move the negative in front of the fraction.

$\frac{51}{11} - \frac{19 f l p m s y}{22}$