Pre-Algebra Examples

6.2

$6.2$

Step 1

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

1

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

10^{1}

$10^{1}$

(10)

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

6 \frac{2}{10}

$6 \frac{2}{10}$

Step 2

Reduce the fractional part of the mixed number.

6 \frac{1}{5}

$6 \frac{1}{5}$

Step 3

Convert

6 \frac{1}{5}

$6 \frac{1}{5}$ 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{1}{5}

$6 + \frac{1}{5}$

Step 3.2

Add

6

$6$ and

\frac{1}{5}

$\frac{1}{5}$ .

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Step 3.2.1

To write

6

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

\frac{5}{5}

$\frac{5}{5}$ .

6 \cdot \frac{5}{5} + \frac{1}{5}

$6 \cdot \frac{5}{5} + \frac{1}{5}$

Step 3.2.2

Combine

6

$6$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{6 \cdot 5}{5} + \frac{1}{5}

$\frac{6 \cdot 5}{5} + \frac{1}{5}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{6 \cdot 5 + 1}{5}

$\frac{6 \cdot 5 + 1}{5}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

6

$6$ by

5

$5$ .

\frac{30 + 1}{5}

$\frac{30 + 1}{5}$

Step 3.2.4.2

Add

30

$30$ and

1

$1$ .

\frac{31}{5}

$\frac{31}{5}$

\frac{31}{5}

$\frac{31}{5}$

\frac{31}{5}

$\frac{31}{5}$

\frac{31}{5}

$\frac{31}{5}$