Basic Math Examples

36.5

$36.5$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is

1

$1$ number to the right of the decimal point, place the decimal number over

10^{1}

$10^{1}$

(10)

$(10)$ . Next, add the whole number to the left of the decimal.

36 \frac{5}{10}

$36 \frac{5}{10}$

Step 2

Reduce the fractional part of the mixed number.

36 \frac{1}{2}

$36 \frac{1}{2}$

Step 3

Convert

36 \frac{1}{2}

$36 \frac{1}{2}$ to an improper fraction.

Tap for more steps...

Step 3.1

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

36 + \frac{1}{2}

$36 + \frac{1}{2}$

Step 3.2

Add

36

$36$ and

\frac{1}{2}

$\frac{1}{2}$ .

Tap for more steps...

Step 3.2.1

To write

36

$36$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

36 \cdot \frac{2}{2} + \frac{1}{2}

$36 \cdot \frac{2}{2} + \frac{1}{2}$

Step 3.2.2

Combine

36

$36$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{36 \cdot 2}{2} + \frac{1}{2}

$\frac{36 \cdot 2}{2} + \frac{1}{2}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{36 \cdot 2 + 1}{2}

$\frac{36 \cdot 2 + 1}{2}$

Step 3.2.4

Simplify the numerator.

Tap for more steps...

Step 3.2.4.1

Multiply

36

$36$ by

2

$2$ .

\frac{72 + 1}{2}

$\frac{72 + 1}{2}$

Step 3.2.4.2

Add

72

$72$ and

1

$1$ .

\frac{73}{2}

$\frac{73}{2}$

\frac{73}{2}

$\frac{73}{2}$

\frac{73}{2}

$\frac{73}{2}$

\frac{73}{2}

$\frac{73}{2}$