Basic Math Examples

8.21

$8.21$

Step 1

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

2

$2$ numbers to the right of the decimal point, place the decimal number over

10^{2}

$10^{2}$

(100)

$(100)$ . Next, add the whole number to the left of the decimal.

8 \frac{21}{100}

$8 \frac{21}{100}$

Step 2

Convert

8 \frac{21}{100}

$8 \frac{21}{100}$ 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{21}{100}

$8 + \frac{21}{100}$

Step 2.2

Add

8

$8$ and

\frac{21}{100}

$\frac{21}{100}$ .

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Step 2.2.1

To write

8

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

\frac{100}{100}

$\frac{100}{100}$ .

8 \cdot \frac{100}{100} + \frac{21}{100}

$8 \cdot \frac{100}{100} + \frac{21}{100}$

Step 2.2.2

Combine

8

$8$ and

\frac{100}{100}

$\frac{100}{100}$ .

\frac{8 \cdot 100}{100} + \frac{21}{100}

$\frac{8 \cdot 100}{100} + \frac{21}{100}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{8 \cdot 100 + 21}{100}

$\frac{8 \cdot 100 + 21}{100}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

8

$8$ by

100

$100$ .

\frac{800 + 21}{100}

$\frac{800 + 21}{100}$

Step 2.2.4.2

Add

800

$800$ and

21

$21$ .

\frac{821}{100}

$\frac{821}{100}$