Basic Math Examples

$\frac{15}{42} \cdot (s i m p l i f y)$

Step 1

Cancel the common factor of

$i$ .

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Step 1.1

Rewrite

$- 42 \cdot i$ as

$- 42 i$ .

$\frac{15}{i (- 42 i)} \cdot (s i m p l i f y)$

Step 1.2

Factor

$i$ out of

$s i m p l i f y$ .

$\frac{15}{i (- 42 i)} \cdot (i (s m p l i f y))$

Step 1.3

Cancel the common factor.

$\frac{15}{i (- 42 i)} \cdot (i (s m p l i f y))$

Step 1.4

Rewrite the expression.

$\frac{15}{- 42 i} \cdot (s m p l i f y)$

Step 2

Combine

$s$ and

$\frac{15}{- 42 i}$ .

$\frac{s \cdot 15}{- 42 i} \cdot (m p l i f y)$

Step 3

Combine

$m$ and

$\frac{s \cdot 15}{- 42 i}$ .

$\frac{m (s \cdot 15)}{- 42 i} \cdot (p l i f y)$

Step 4

Combine

$p$ and

$\frac{m (s \cdot 15)}{- 42 i}$ .

$\frac{p (m (s \cdot 15))}{- 42 i} \cdot (l i f y)$

Step 5

Combine

$l$ and

$\frac{p (m (s \cdot 15))}{- 42 i}$ .

$\frac{l (p (m (s \cdot 15)))}{- 42 i} \cdot (i f y)$

Step 6

Combine

$i$ and

$\frac{l (p (m (s \cdot 15)))}{- 42 i}$ .

$\frac{i (l (p (m (s \cdot 15))))}{- 42 i} \cdot (f y)$

Step 7

Combine

$f$ and

$\frac{i (l (p (m (s \cdot 15))))}{- 42 i}$ .

$\frac{f (i (l (p (m (s \cdot 15)))))}{- 42 i} \cdot y$

Step 8

Combine

$\frac{f (i (l (p (m (s \cdot 15)))))}{- 42 i}$ and

$y$ .

$\frac{f (i (l (p (m (s \cdot 15))))) y}{- 42 i}$

Step 9

Cancel the common factor of

$i$ .

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Step 9.1

Cancel the common factor.

$\frac{f (i (l (p (m (s \cdot 15))))) y}{- 42 i}$

Step 9.2

Rewrite the expression.

$\frac{f (l (p (m (s \cdot 15)))) y}{- 42}$

Step 10

Cancel the common factor of

$15$ and

$- 42$ .

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Step 10.1

Factor

$3$ out of

$f (l (p (m (s \cdot 15)))) y$ .

$\frac{3 (f (l (p (m (s \cdot 5)))) y)}{- 42}$

Step 10.2

Cancel the common factors.

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Step 10.2.1

Factor

$3$ out of

$- 42$ .

$\frac{3 (f (l (p (m (s \cdot 5)))) y)}{3 (- 14)}$

Step 10.2.2

Cancel the common factor.

$\frac{3 (f (l (p (m (s \cdot 5)))) y)}{3 \cdot - 14}$

Step 10.2.3

Rewrite the expression.

$\frac{f (l (p (m (s \cdot 5)))) y}{- 14}$

Step 11

Simplify the expression.

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Step 11.1

Move

$5$ to the left of

$f l p m s$ .

$\frac{5 \cdot (f l p m s) y}{- 14}$

Step 11.2

Move the negative in front of the fraction.

$- \frac{5 f l p m s y}{14}$