Basic Math Examples

5.68

$5.68$

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.

5 \frac{68}{100}

$5 \frac{68}{100}$

Step 2

Reduce the fractional part of the mixed number.

5 \frac{17}{25}

$5 \frac{17}{25}$

Step 3

Convert

5 \frac{17}{25}

$5 \frac{17}{25}$ to an improper fraction.

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Step 3.1

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

5 + \frac{17}{25}

$5 + \frac{17}{25}$

Step 3.2

Add

5

$5$ and

\frac{17}{25}

$\frac{17}{25}$ .

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Step 3.2.1

To write

5

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

\frac{25}{25}

$\frac{25}{25}$ .

5 \cdot \frac{25}{25} + \frac{17}{25}

$5 \cdot \frac{25}{25} + \frac{17}{25}$

Step 3.2.2

Combine

5

$5$ and

\frac{25}{25}

$\frac{25}{25}$ .

\frac{5 \cdot 25}{25} + \frac{17}{25}

$\frac{5 \cdot 25}{25} + \frac{17}{25}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 25 + 17}{25}

$\frac{5 \cdot 25 + 17}{25}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

5

$5$ by

25

$25$ .

\frac{125 + 17}{25}

$\frac{125 + 17}{25}$

Step 3.2.4.2

Add

125

$125$ and

17

$17$ .

\frac{142}{25}

$\frac{142}{25}$

\frac{142}{25}

$\frac{142}{25}$

\frac{142}{25}

$\frac{142}{25}$

\frac{142}{25}

$\frac{142}{25}$