Algebra Examples

2.8

$2.8$

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.

2 \frac{8}{10}

$2 \frac{8}{10}$

Step 2

Reduce the fractional part of the mixed number.

2 \frac{4}{5}

$2 \frac{4}{5}$

Step 3

Convert

2 \frac{4}{5}

$2 \frac{4}{5}$ to an improper fraction.

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Step 3.1

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

2 + \frac{4}{5}

$2 + \frac{4}{5}$

Step 3.2

Add

2

$2$ and

\frac{4}{5}

$\frac{4}{5}$ .

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Step 3.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

2 \cdot \frac{5}{5} + \frac{4}{5}

$2 \cdot \frac{5}{5} + \frac{4}{5}$

Step 3.2.2

Combine

2

$2$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{2 \cdot 5}{5} + \frac{4}{5}

$\frac{2 \cdot 5}{5} + \frac{4}{5}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 5 + 4}{5}

$\frac{2 \cdot 5 + 4}{5}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

2

$2$ by

5

$5$ .

\frac{10 + 4}{5}

$\frac{10 + 4}{5}$

Step 3.2.4.2

Add

10

$10$ and

4

$4$ .

\frac{14}{5}

$\frac{14}{5}$

\frac{14}{5}

$\frac{14}{5}$

\frac{14}{5}

$\frac{14}{5}$

\frac{14}{5}

$\frac{14}{5}$