Basic Math Examples

71.0582

$71.0582$

Step 1

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

4

$4$ numbers to the right of the decimal point, place the decimal number over

10^{4}

$10^{4}$

(10000)

$(10000)$ . Next, add the whole number to the left of the decimal.

71 \frac{582}{10000}

$71 \frac{582}{10000}$

Step 2

Reduce the fractional part of the mixed number.

71 \frac{291}{5000}

$71 \frac{291}{5000}$

Step 3

Convert

71 \frac{291}{5000}

$71 \frac{291}{5000}$ to an improper fraction.

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Step 3.1

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

71 + \frac{291}{5000}

$71 + \frac{291}{5000}$

Step 3.2

Add

71

$71$ and

\frac{291}{5000}

$\frac{291}{5000}$ .

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Step 3.2.1

To write

71

$71$ as a fraction with a common denominator, multiply by

\frac{5000}{5000}

$\frac{5000}{5000}$ .

71 \cdot \frac{5000}{5000} + \frac{291}{5000}

$71 \cdot \frac{5000}{5000} + \frac{291}{5000}$

Step 3.2.2

Combine

71

$71$ and

\frac{5000}{5000}

$\frac{5000}{5000}$ .

\frac{71 \cdot 5000}{5000} + \frac{291}{5000}

$\frac{71 \cdot 5000}{5000} + \frac{291}{5000}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{71 \cdot 5000 + 291}{5000}

$\frac{71 \cdot 5000 + 291}{5000}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

71

$71$ by

5000

$5000$ .

\frac{355000 + 291}{5000}

$\frac{355000 + 291}{5000}$

Step 3.2.4.2

Add

355000

$355000$ and

291

$291$ .

\frac{355291}{5000}

$\frac{355291}{5000}$

\frac{355291}{5000}

$\frac{355291}{5000}$

\frac{355291}{5000}

$\frac{355291}{5000}$

\frac{355291}{5000}

$\frac{355291}{5000}$