Basic Math Examples

8.437

$8.437$

Step 1

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

3

$3$ numbers to the right of the decimal point, place the decimal number over

10^{3}

$10^{3}$

(1000)

$(1000)$ . Next, add the whole number to the left of the decimal.

8 \frac{437}{1000}

$8 \frac{437}{1000}$

Step 2

Convert

8 \frac{437}{1000}

$8 \frac{437}{1000}$ to an improper fraction.

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Step 2.1

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

8 + \frac{437}{1000}

$8 + \frac{437}{1000}$

Step 2.2

Add

8

$8$ and

\frac{437}{1000}

$\frac{437}{1000}$ .

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Step 2.2.1

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{1000}{1000}

$\frac{1000}{1000}$ .

8 \cdot \frac{1000}{1000} + \frac{437}{1000}

$8 \cdot \frac{1000}{1000} + \frac{437}{1000}$

Step 2.2.2

Combine

8

$8$ and

\frac{1000}{1000}

$\frac{1000}{1000}$ .

\frac{8 \cdot 1000}{1000} + \frac{437}{1000}

$\frac{8 \cdot 1000}{1000} + \frac{437}{1000}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{8 \cdot 1000 + 437}{1000}

$\frac{8 \cdot 1000 + 437}{1000}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

8

$8$ by

1000

$1000$ .

\frac{8000 + 437}{1000}

$\frac{8000 + 437}{1000}$

Step 2.2.4.2

Add

8000

$8000$ and

437

$437$ .

\frac{8437}{1000}

$\frac{8437}{1000}$

\frac{8437}{1000}

$\frac{8437}{1000}$

\frac{8437}{1000}

$\frac{8437}{1000}$

\frac{8437}{1000}

$\frac{8437}{1000}$