Basic Math Examples

$D (5) = \frac{9 (50) + 4}{8}$

Step 1

Simplify.

Tap for more steps...

Step 1.1

Multiply $9$ by $50$ .

$D (5) = \frac{450 + 4}{8}$

Step 1.2

Reduce the expression $\frac{450 + 4}{8}$ by cancelling the common factors.

Tap for more steps...

Step 1.2.1

Factor $2$ out of $450$ .

$D (5) = \frac{2 (225) + 4}{8}$

Step 1.2.2

Factor $2$ out of $4$ .

$D (5) = \frac{2 \cdot 225 + 2 \cdot 2}{8}$

Step 1.2.3

Factor $2$ out of $2 \cdot 225 + 2 \cdot 2$ .

$D (5) = \frac{2 \cdot (225 + 2)}{8}$

Step 1.2.4

Factor $2$ out of $8$ .

$D (5) = \frac{2 \cdot (225 + 2)}{2 (4)}$

Step 1.2.5

Cancel the common factor.

$D (5) = \frac{2 \cdot (225 + 2)}{2 \cdot 4}$

Step 1.2.6

Rewrite the expression.

$D (5) = \frac{225 + 2}{4}$

Step 1.3

Add $225$ and $2$ .

$D (5) = \frac{227}{4}$

Step 2

Divide each term in $D (5) = \frac{227}{4}$ by $5$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $D (5) = \frac{227}{4}$ by $5$ .

$\frac{D (5)}{5} = \frac{\frac{227}{4}}{5}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{D \cdot 5}{5} = \frac{\frac{227}{4}}{5}$

Step 2.2.1.2

Divide $D$ by $1$ .

$D = \frac{\frac{227}{4}}{5}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$D = \frac{227}{4} \cdot \frac{1}{5}$

Step 2.3.2

Multiply $\frac{227}{4} \cdot \frac{1}{5}$ .

Tap for more steps...

Step 2.3.2.1

Multiply $\frac{227}{4}$ by $\frac{1}{5}$ .

$D = \frac{227}{4 \cdot 5}$

Step 2.3.2.2

Multiply $4$ by $5$ .

$D = \frac{227}{20}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$D = \frac{227}{20}$

Decimal Form:

$D = 11.35$

Mixed Number Form:

$D = 11 \frac{7}{20}$