Basic Math Examples

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

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

Step 1

Cancel the common factor of

9

$9$ and

15

$15$ .

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Step 1.1

Factor

3

$3$ out of

9

$9$ .

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

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

3

$3$ out of

15

$15$ .

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

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

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.

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

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

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

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

$1$ .

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

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

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

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

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

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

Step 7

Move

$3$ to the left of

$d e i f l p m$ .

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$