Basic Math Examples

- 4.58

$- 4.58$

Step 1

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

2

$2$ numbers to the right of the decimal point, place the decimal number over

10^{2}

$10^{2}$

(100)

$(100)$ . Next, add the whole number to the left of the decimal.

- 4 \frac{58}{100}

$- 4 \frac{58}{100}$

Step 2

Reduce the fractional part of the mixed number.

- 4 \frac{29}{50}

$- 4 \frac{29}{50}$

Step 3

Convert

4 \frac{29}{50}

$4 \frac{29}{50}$ to an improper fraction.

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Step 3.1

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

- (4 + \frac{29}{50})

$- (4 + \frac{29}{50})$

Step 3.2

Add

4

$4$ and

\frac{29}{50}

$\frac{29}{50}$ .

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Step 3.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{50}{50}

$\frac{50}{50}$ .

- (4 \cdot \frac{50}{50} + \frac{29}{50})

$- (4 \cdot \frac{50}{50} + \frac{29}{50})$

Step 3.2.2

Combine

4

$4$ and

\frac{50}{50}

$\frac{50}{50}$ .

- (\frac{4 \cdot 50}{50} + \frac{29}{50})

$- (\frac{4 \cdot 50}{50} + \frac{29}{50})$

Step 3.2.3

Combine the numerators over the common denominator.

- \frac{4 \cdot 50 + 29}{50}

$- \frac{4 \cdot 50 + 29}{50}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

4

$4$ by

50

$50$ .

- \frac{200 + 29}{50}

$- \frac{200 + 29}{50}$

Step 3.2.4.2

Add

200

$200$ and

29

$29$ .

- \frac{229}{50}

$- \frac{229}{50}$

- \frac{229}{50}

$- \frac{229}{50}$

- \frac{229}{50}

$- \frac{229}{50}$

- \frac{229}{50}

$- \frac{229}{50}$