Basic Math Examples

A = \frac{1}{3} \cdot (h (a + 4 b + c))

$A = \frac{1}{3} \cdot (h (a + 4 b + c))$

Step 1

Remove parentheses.

A = \frac{1}{3} \cdot (h (a + 4 b + c))

$A = \frac{1}{3} \cdot (h (a + 4 b + c))$

Step 2

Simplify

\frac{1}{3} \cdot (h (a + 4 b + c))

$\frac{1}{3} \cdot (h (a + 4 b + c))$ .

Tap for more steps...

Step 2.1

Apply the distributive property.

A = \frac{1}{3} \cdot (h a + h (4 b) + h c)

$A = \frac{1}{3} \cdot (h a + h (4 b) + h c)$

Step 2.2

Rewrite using the commutative property of multiplication.

A = \frac{1}{3} \cdot (h a + 4 h b + h c)

$A = \frac{1}{3} \cdot (h a + 4 h b + h c)$

Step 2.3

Apply the distributive property.

A = \frac{1}{3} (h a) + \frac{1}{3} (4 h b) + \frac{1}{3} (h c)

$A = \frac{1}{3} (h a) + \frac{1}{3} (4 h b) + \frac{1}{3} (h c)$

Step 2.4

Simplify.

Tap for more steps...

Step 2.4.1

Multiply

\frac{1}{3} (h a)

$\frac{1}{3} (h a)$ .

Tap for more steps...

Step 2.4.1.1

Combine

h

$h$ and

\frac{1}{3}

$\frac{1}{3}$ .

A = \frac{h}{3} a + \frac{1}{3} (4 h b) + \frac{1}{3} (h c)

$A = \frac{h}{3} a + \frac{1}{3} (4 h b) + \frac{1}{3} (h c)$

Step 2.4.1.2

Combine

\frac{h}{3}

$\frac{h}{3}$ and

a

$a$ .

A = \frac{h a}{3} + \frac{1}{3} (4 h b) + \frac{1}{3} (h c)

$A = \frac{h a}{3} + \frac{1}{3} (4 h b) + \frac{1}{3} (h c)$

A = \frac{h a}{3} + \frac{1}{3} (4 h b) + \frac{1}{3} (h c)

$A = \frac{h a}{3} + \frac{1}{3} (4 h b) + \frac{1}{3} (h c)$

Step 2.4.2

Multiply

\frac{1}{3} (4 h b)

$\frac{1}{3} (4 h b)$ .

Tap for more steps...

Step 2.4.2.1

Combine

4

$4$ and

\frac{1}{3}

$\frac{1}{3}$ .

A = \frac{h a}{3} + \frac{4}{3} (h b) + \frac{1}{3} (h c)

$A = \frac{h a}{3} + \frac{4}{3} (h b) + \frac{1}{3} (h c)$

Step 2.4.2.2

Combine

h

$h$ and

\frac{4}{3}

$\frac{4}{3}$ .

A = \frac{h a}{3} + \frac{h \cdot 4}{3} b + \frac{1}{3} (h c)

$A = \frac{h a}{3} + \frac{h \cdot 4}{3} b + \frac{1}{3} (h c)$

Step 2.4.2.3

Combine

\frac{h \cdot 4}{3}

$\frac{h \cdot 4}{3}$ and

b

$b$ .

A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{1}{3} (h c)

$A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{1}{3} (h c)$

A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{1}{3} (h c)

$A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{1}{3} (h c)$

Step 2.4.3

Multiply

\frac{1}{3} (h c)

$\frac{1}{3} (h c)$ .

Tap for more steps...

Step 2.4.3.1

Combine

h

$h$ and

\frac{1}{3}

$\frac{1}{3}$ .

A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{h}{3} c

$A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{h}{3} c$

Step 2.4.3.2

Combine

\frac{h}{3}

$\frac{h}{3}$ and

c

$c$ .

A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{h c}{3}

$A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{h c}{3}$

A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{h c}{3}

$A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{h c}{3}$

A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{h c}{3}

$A = \frac{h a}{3} + \frac{h \cdot 4 b}{3} + \frac{h c}{3}$

Step 2.5

Move

4

$4$ to the left of

h

$h$ .

A = \frac{h a}{3} + \frac{4 h b}{3} + \frac{h c}{3}

$A = \frac{h a}{3} + \frac{4 h b}{3} + \frac{h c}{3}$

Step 2.6

Simplify the expression.

Tap for more steps...

Step 2.6.1

Reorder

h

$h$ and

a

$a$ .

A = \frac{a h}{3} + \frac{4 h b}{3} + \frac{h c}{3}

$A = \frac{a h}{3} + \frac{4 h b}{3} + \frac{h c}{3}$

Step 2.6.2

Move

h

$h$ .

A = \frac{a h}{3} + \frac{4 b h}{3} + \frac{h c}{3}

$A = \frac{a h}{3} + \frac{4 b h}{3} + \frac{h c}{3}$

Step 2.6.3

Reorder

h

$h$ and

c

$c$ .

A = \frac{a h}{3} + \frac{4 b h}{3} + \frac{c h}{3}

$A = \frac{a h}{3} + \frac{4 b h}{3} + \frac{c h}{3}$

A = \frac{a h}{3} + \frac{4 b h}{3} + \frac{c h}{3}

$A = \frac{a h}{3} + \frac{4 b h}{3} + \frac{c h}{3}$

A = \frac{a h}{3} + \frac{4 b h}{3} + \frac{c h}{3}

$A = \frac{a h}{3} + \frac{4 b h}{3} + \frac{c h}{3}$