Basic Math Examples

8.65

$8.65$

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{65}{100}

$8 \frac{65}{100}$

Step 2

Reduce the fractional part of the mixed number.

8 \frac{13}{20}

$8 \frac{13}{20}$

Step 3

Convert

8 \frac{13}{20}

$8 \frac{13}{20}$ to an improper fraction.

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Step 3.1

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

8 + \frac{13}{20}

$8 + \frac{13}{20}$

Step 3.2

Add

8

$8$ and

\frac{13}{20}

$\frac{13}{20}$ .

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Step 3.2.1

To write

8

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

\frac{20}{20}

$\frac{20}{20}$ .

8 \cdot \frac{20}{20} + \frac{13}{20}

$8 \cdot \frac{20}{20} + \frac{13}{20}$

Step 3.2.2

Combine

8

$8$ and

\frac{20}{20}

$\frac{20}{20}$ .

\frac{8 \cdot 20}{20} + \frac{13}{20}

$\frac{8 \cdot 20}{20} + \frac{13}{20}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{8 \cdot 20 + 13}{20}

$\frac{8 \cdot 20 + 13}{20}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

8

$8$ by

20

$20$ .

\frac{160 + 13}{20}

$\frac{160 + 13}{20}$

Step 3.2.4.2

Add

160

$160$ and

13

$13$ .

\frac{173}{20}

$\frac{173}{20}$

\frac{173}{20}

$\frac{173}{20}$

\frac{173}{20}

$\frac{173}{20}$

\frac{173}{20}

$\frac{173}{20}$