Basic Math Examples

5.33333

$5.33333$

Step 1

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

5

$5$ numbers to the right of the decimal point, place the decimal number over

10^{5}

$10^{5}$

(100000)

$(100000)$ . Next, add the whole number to the left of the decimal.

5 \frac{33333}{100000}

$5 \frac{33333}{100000}$

Step 2

Convert

5 \frac{33333}{100000}

$5 \frac{33333}{100000}$ to an improper fraction.

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Step 2.1

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

5 + \frac{33333}{100000}

$5 + \frac{33333}{100000}$

Step 2.2

Add

5

$5$ and

\frac{33333}{100000}

$\frac{33333}{100000}$ .

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Step 2.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{100000}{100000}

$\frac{100000}{100000}$ .

5 \cdot \frac{100000}{100000} + \frac{33333}{100000}

$5 \cdot \frac{100000}{100000} + \frac{33333}{100000}$

Step 2.2.2

Combine

5

$5$ and

\frac{100000}{100000}

$\frac{100000}{100000}$ .

\frac{5 \cdot 100000}{100000} + \frac{33333}{100000}

$\frac{5 \cdot 100000}{100000} + \frac{33333}{100000}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 100000 + 33333}{100000}

$\frac{5 \cdot 100000 + 33333}{100000}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

5

$5$ by

100000

$100000$ .

\frac{500000 + 33333}{100000}

$\frac{500000 + 33333}{100000}$

Step 2.2.4.2

Add

500000

$500000$ and

33333

$33333$ .

\frac{533333}{100000}

$\frac{533333}{100000}$

\frac{533333}{100000}

$\frac{533333}{100000}$

\frac{533333}{100000}

$\frac{533333}{100000}$

\frac{533333}{100000}

$\frac{533333}{100000}$