Basic Math Examples

$18 \frac{6}{25} \cdot (d e c i m a l)$

Step 1

Convert

$18 \frac{6}{25}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

$(18 + \frac{6}{25}) \cdot (d e c i m a l)$

Step 1.2

Add

$18$ and

$\frac{6}{25}$ .

Tap for more steps...

Step 1.2.1

To write

$18$ as a fraction with a common denominator, multiply by

$\frac{25}{25}$ .

$(18 \cdot \frac{25}{25} + \frac{6}{25}) \cdot (d e c i m a l)$

Step 1.2.2

Combine

$18$ and

$\frac{25}{25}$ .

$(\frac{18 \cdot 25}{25} + \frac{6}{25}) \cdot (d e c i m a l)$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{18 \cdot 25 + 6}{25} \cdot (d e c i m a l)$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$18$ by

$25$ .

$\frac{450 + 6}{25} \cdot (d e c i m a l)$

Step 1.2.4.2

Add

$450$ and

$6$ .

$\frac{456}{25} \cdot (d e c i m a l)$

Step 2

Multiply

$\frac{456}{25} (d e c i m a l)$ .

Tap for more steps...

Step 2.1

Combine

$d$ and

$\frac{456}{25}$ .

$\frac{d \cdot 456}{25} (e c i m a l)$

Step 2.2

Combine

$e$ and

$\frac{d \cdot 456}{25}$ .

$\frac{e (d \cdot 456)}{25} (c i m a l)$

Step 2.3

Combine

$c$ and

$\frac{e (d \cdot 456)}{25}$ .

$\frac{c (e (d \cdot 456))}{25} (i m a l)$

Step 2.4

Combine

$i$ and

$\frac{c (e (d \cdot 456))}{25}$ .

$\frac{i (c (e (d \cdot 456)))}{25} (m a l)$

Step 2.5

Combine

$m$ and

$\frac{i (c (e (d \cdot 456)))}{25}$ .

$\frac{m (i (c (e (d \cdot 456))))}{25} (a l)$

Step 2.6

Combine

$a$ and

$\frac{m (i (c (e (d \cdot 456))))}{25}$ .

$\frac{a (m (i (c (e (d \cdot 456)))))}{25} l$

Step 2.7

Combine

$\frac{a (m (i (c (e (d \cdot 456)))))}{25}$ and

$l$ .

$\frac{a (m (i (c (e (d \cdot 456))))) l}{25}$

Step 3

Move

$456$ to the left of

$a m i c e d$ .

$\frac{456 a m i c e d l}{25}$