Basic Math Examples

0.4722222

$0.4722222$

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.

0 \frac{4722222}{10000000}

$0 \frac{4722222}{10000000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{4722222}{10000000}

$0 \frac{4722222}{10000000}$ to an improper fraction.

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Step 2.1.1

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

0 + \frac{4722222}{10000000}

$0 + \frac{4722222}{10000000}$

Step 2.1.2

Add

0

$0$ and

\frac{4722222}{10000000}

$\frac{4722222}{10000000}$ .

\frac{4722222}{10000000}

$\frac{4722222}{10000000}$

\frac{4722222}{10000000}

$\frac{4722222}{10000000}$

Step 2.2

Cancel the common factor of

4722222

$4722222$ and

10000000

$10000000$ .

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Step 2.2.1

Factor

2

$2$ out of

4722222

$4722222$ .

\frac{2 (2361111)}{10000000}

$\frac{2 (2361111)}{10000000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

2

$2$ out of

10000000

$10000000$ .

\frac{2 \cdot 2361111}{2 \cdot 5000000}

$\frac{2 \cdot 2361111}{2 \cdot 5000000}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2 \cdot 2361111}{2 \cdot 5000000}$

Step 2.2.2.3

Rewrite the expression.

$\frac{2361111}{5000000}$