Algebra Examples

3.125

$3.125$

Step 1

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

3

$3$ numbers to the right of the decimal point, place the decimal number over

10^{3}

$10^{3}$

(1000)

$(1000)$ . Next, add the whole number to the left of the decimal.

3 \frac{125}{1000}

$3 \frac{125}{1000}$

Step 2

Reduce the fractional part of the mixed number.

3 \frac{1}{8}

$3 \frac{1}{8}$

Step 3

Convert

3 \frac{1}{8}

$3 \frac{1}{8}$ to an improper fraction.

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Step 3.1

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

3 + \frac{1}{8}

$3 + \frac{1}{8}$

Step 3.2

Add

3

$3$ and

\frac{1}{8}

$\frac{1}{8}$ .

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Step 3.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

3 \cdot \frac{8}{8} + \frac{1}{8}

$3 \cdot \frac{8}{8} + \frac{1}{8}$

Step 3.2.2

Combine

3

$3$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{3 \cdot 8}{8} + \frac{1}{8}

$\frac{3 \cdot 8}{8} + \frac{1}{8}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 8 + 1}{8}

$\frac{3 \cdot 8 + 1}{8}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

3

$3$ by

8

$8$ .

\frac{24 + 1}{8}

$\frac{24 + 1}{8}$

Step 3.2.4.2

Add

24

$24$ and

1

$1$ .

\frac{25}{8}

$\frac{25}{8}$

\frac{25}{8}

$\frac{25}{8}$

\frac{25}{8}

$\frac{25}{8}$

\frac{25}{8}

$\frac{25}{8}$