Basic Math Examples

- 52.5

$- 52.5$

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.

- 52 \frac{5}{10}

$- 52 \frac{5}{10}$

Step 2

Reduce the fractional part of the mixed number.

- 52 \frac{1}{2}

$- 52 \frac{1}{2}$

Step 3

Convert

52 \frac{1}{2}

$52 \frac{1}{2}$ to an improper fraction.

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Step 3.1

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

- (52 + \frac{1}{2})

$- (52 + \frac{1}{2})$

Step 3.2

Add

52

$52$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 3.2.1

To write

52

$52$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

- (52 \cdot \frac{2}{2} + \frac{1}{2})

$- (52 \cdot \frac{2}{2} + \frac{1}{2})$

Step 3.2.2

Combine

52

$52$ and

\frac{2}{2}

$\frac{2}{2}$ .

- (\frac{52 \cdot 2}{2} + \frac{1}{2})

$- (\frac{52 \cdot 2}{2} + \frac{1}{2})$

Step 3.2.3

Combine the numerators over the common denominator.

- \frac{52 \cdot 2 + 1}{2}

$- \frac{52 \cdot 2 + 1}{2}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

52

$52$ by

2

$2$ .

- \frac{104 + 1}{2}

$- \frac{104 + 1}{2}$

Step 3.2.4.2

Add

104

$104$ and

1

$1$ .

- \frac{105}{2}

$- \frac{105}{2}$

- \frac{105}{2}

$- \frac{105}{2}$

- \frac{105}{2}

$- \frac{105}{2}$

- \frac{105}{2}

$- \frac{105}{2}$