Basic Math Examples

$\frac{6}{11} \cdot \frac{5}{4} \cdot (s i m p l i f y)$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $6$ .

$\frac{2 (3)}{11} \cdot \frac{5}{4} \cdot (s i m p l i f y)$

Step 1.2

Factor $2$ out of $4$ .

$\frac{2 \cdot 3}{11} \cdot \frac{5}{2 \cdot 2} \cdot (s i m p l i f y)$

Step 1.3

Cancel the common factor.

$\frac{2 \cdot 3}{11} \cdot \frac{5}{2 \cdot 2} \cdot (s i m p l i f y)$

Step 1.4

Rewrite the expression.

$\frac{3}{11} \cdot \frac{5}{2} \cdot (s i m p l i f y)$

Step 2

Multiply $\frac{3}{11}$ by $\frac{5}{2}$ .

$\frac{3 \cdot 5}{11 \cdot 2} \cdot (s i m p l i f y)$

Step 3

Multiply.

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Step 3.1

Multiply $3$ by $5$ .

$\frac{15}{11 \cdot 2} \cdot (s i m p l i f y)$

Step 3.2

Multiply $11$ by $2$ .

$\frac{15}{22} \cdot (s i m p l i f y)$

Step 4

Cancel the common factor of $i$ .

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Step 4.1

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

$\frac{15}{i (- 22 i)} \cdot (s i m p l i f y)$

Step 4.2

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

$\frac{15}{i (- 22 i)} \cdot (i (s m p l i f y))$

Step 4.3

Cancel the common factor.

$\frac{15}{i (- 22 i)} \cdot (i (s m p l i f y))$

Step 4.4

Rewrite the expression.

$\frac{15}{- 22 i} \cdot (s m p l i f y)$

Step 5

Combine $s$ and $\frac{15}{- 22 i}$ .

$\frac{s \cdot 15}{- 22 i} \cdot (m p l i f y)$

Step 6

Combine $m$ and $\frac{s \cdot 15}{- 22 i}$ .

$\frac{m (s \cdot 15)}{- 22 i} \cdot (p l i f y)$

Step 7

Combine $p$ and $\frac{m (s \cdot 15)}{- 22 i}$ .

$\frac{p (m (s \cdot 15))}{- 22 i} \cdot (l i f y)$

Step 8

Combine $l$ and $\frac{p (m (s \cdot 15))}{- 22 i}$ .

$\frac{l (p (m (s \cdot 15)))}{- 22 i} \cdot (i f y)$

Step 9

Combine $i$ and $\frac{l (p (m (s \cdot 15)))}{- 22 i}$ .

$\frac{i (l (p (m (s \cdot 15))))}{- 22 i} \cdot (f y)$

Step 10

Combine $f$ and $\frac{i (l (p (m (s \cdot 15))))}{- 22 i}$ .

$\frac{f (i (l (p (m (s \cdot 15)))))}{- 22 i} \cdot y$

Step 11

Combine $\frac{f (i (l (p (m (s \cdot 15)))))}{- 22 i}$ and $y$ .

$\frac{f (i (l (p (m (s \cdot 15))))) y}{- 22 i}$

Step 12

Cancel the common factor of $i$ .

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Step 12.1

Cancel the common factor.

$\frac{f (i (l (p (m (s \cdot 15))))) y}{- 22 i}$

Step 12.2

Rewrite the expression.

$\frac{f (l (p (m (s \cdot 15)))) y}{- 22}$

Step 13

Simplify the expression.

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Step 13.1

Move $15$ to the left of $f l p m s$ .

$\frac{15 \cdot (f l p m s) y}{- 22}$

Step 13.2

Move the negative in front of the fraction.

$- \frac{15 f l p m s y}{22}$