Basic Math Examples

5.3333333

$5.3333333$

Step 1

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

7

$7$ numbers to the right of the decimal point, place the decimal number over

10^{7}

$10^{7}$

(10000000)

$(10000000)$ . Next, add the whole number to the left of the decimal.

5 \frac{3333333}{10000000}

$5 \frac{3333333}{10000000}$

Step 2

Convert

5 \frac{3333333}{10000000}

$5 \frac{3333333}{10000000}$ 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{3333333}{10000000}

$5 + \frac{3333333}{10000000}$

Step 2.2

Add

5

$5$ and

\frac{3333333}{10000000}

$\frac{3333333}{10000000}$ .

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Step 2.2.1

To write

5

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

\frac{10000000}{10000000}

$\frac{10000000}{10000000}$ .

5 \cdot \frac{10000000}{10000000} + \frac{3333333}{10000000}

$5 \cdot \frac{10000000}{10000000} + \frac{3333333}{10000000}$

Step 2.2.2

Combine

5

$5$ and

\frac{10000000}{10000000}

$\frac{10000000}{10000000}$ .

\frac{5 \cdot 10000000}{10000000} + \frac{3333333}{10000000}

$\frac{5 \cdot 10000000}{10000000} + \frac{3333333}{10000000}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 10000000 + 3333333}{10000000}

$\frac{5 \cdot 10000000 + 3333333}{10000000}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

5

$5$ by

10000000

$10000000$ .

\frac{50000000 + 3333333}{10000000}

$\frac{50000000 + 3333333}{10000000}$

Step 2.2.4.2

Add

50000000

$50000000$ and

3333333

$3333333$ .

\frac{53333333}{10000000}

$\frac{53333333}{10000000}$

\frac{53333333}{10000000}

$\frac{53333333}{10000000}$

\frac{53333333}{10000000}

$\frac{53333333}{10000000}$

\frac{53333333}{10000000}

$\frac{53333333}{10000000}$