Basic Math Examples

$\frac{9}{15} \cdot (s i m p l i f i e d)$

Step 1

Cancel the common factor of $9$ and $15$ .

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Step 1.1

Factor $3$ out of $9$ .

$\frac{3 (3)}{15} \cdot (s i m p l i f i e d)$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $15$ .

$\frac{3 \cdot 3}{3 \cdot 5} \cdot (s i m p l i f i e d)$

Step 1.2.2

Cancel the common factor.

$\frac{3 \cdot 3}{3 \cdot 5} \cdot (s i m p l i f i e d)$

Step 1.2.3

Rewrite the expression.

$\frac{3}{5} \cdot (s i m p l i f i e d)$

Step 2

Multiply $s i m p l i$ .

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Step 2.1

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

$\frac{3}{5} \cdot (s m p l (i^{1} i) f i e d)$

Step 2.2

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

$\frac{3}{5} \cdot (s m p l (i^{1} i^{1}) f i e d)$

Step 2.3

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

$\frac{3}{5} \cdot (s m p l i^{1 + 1} f i e d)$

Step 2.4

Add $1$ and $1$ .

$\frac{3}{5} \cdot (s m p l i^{2} f i e d)$

Step 3

Rewrite $i^{2}$ as $- 1$ .

$\frac{3}{5} \cdot (s m p l \cdot - 1 f i e d)$

Step 4

Move $- 1$ to the left of $s m p l$ .

$\frac{3}{5} \cdot (- 1 \cdot (s m p l) f i e d)$

Step 5

Rewrite $- 1 (s m p l)$ as $- (s m p l)$ .

$\frac{3}{5} \cdot (- (s m p l) f i e d)$

Step 6

Multiply $\frac{3}{5} (- s m p l f i e d)$ .

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Step 6.1

Combine $\frac{3}{5}$ and $s$ .

$- \frac{3 s}{5} m p l f i e d$

Step 6.2

Combine $m$ and $\frac{3 s}{5}$ .

$- \frac{m (3 s)}{5} p l f i e d$

Step 6.3

Combine $p$ and $\frac{m (3 s)}{5}$ .

$- \frac{p (m (3 s))}{5} l f i e d$

Step 6.4

Combine $l$ and $\frac{p (m (3 s))}{5}$ .

$- \frac{l (p (m (3 s)))}{5} f i e d$

Step 6.5

Combine $f$ and $\frac{l (p (m (3 s)))}{5}$ .

$- \frac{f (l (p (m (3 s))))}{5} i e d$

Step 6.6

Combine $i$ and $\frac{f (l (p (m (3 s))))}{5}$ .

$- \frac{i (f (l (p (m (3 s)))))}{5} e d$

Step 6.7

Combine $e$ and $\frac{i (f (l (p (m (3 s)))))}{5}$ .

$- \frac{e (i (f (l (p (m (3 s))))))}{5} d$

Step 6.8

Combine $d$ and $\frac{e (i (f (l (p (m (3 s))))))}{5}$ .

$- \frac{d (e (i (f (l (p (m (3 s)))))))}{5}$

Step 7

Move $3$ to the left of $d e i f l p m$ .

$- \frac{3 d e i f l p m s}{5}$