Algebra Examples

$6.6$

Step 1

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

$1$ number to the right of the decimal point, place the decimal number over

$10^{1}$

$(10)$ . Next, add the whole number to the left of the decimal.

$6 \frac{6}{10}$

Step 2

Reduce the fractional part of the mixed number.

$6 \frac{3}{5}$

Step 3

Convert

$6 \frac{3}{5}$ to an improper fraction.

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Step 3.1

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

$6 + \frac{3}{5}$

Step 3.2

Add

$6$ and

$\frac{3}{5}$ .

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Step 3.2.1

To write

$6$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$6 \cdot \frac{5}{5} + \frac{3}{5}$

Step 3.2.2

Combine

$6$ and

$\frac{5}{5}$ .

$\frac{6 \cdot 5}{5} + \frac{3}{5}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{6 \cdot 5 + 3}{5}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

$6$ by

$5$ .

$\frac{30 + 3}{5}$

Step 3.2.4.2

Add

$30$ and

$3$ .

$\frac{33}{5}$