Algebra Examples

1.125

$1.125$

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.

1 \frac{125}{1000}

$1 \frac{125}{1000}$

Step 2

Reduce the fractional part of the mixed number.

1 \frac{1}{8}

$1 \frac{1}{8}$

Step 3

Convert

1 \frac{1}{8}

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

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Step 3.1

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

1 + \frac{1}{8}

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

Step 3.2

Add

1

$1$ and

\frac{1}{8}

$\frac{1}{8}$ .

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Step 3.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{8}{8} + \frac{1}{8}

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

Step 3.2.2

Combine the numerators over the common denominator.

\frac{8 + 1}{8}

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

Step 3.2.3

Add

8

$8$ and

1

$1$ .

\frac{9}{8}

$\frac{9}{8}$

\frac{9}{8}

$\frac{9}{8}$

\frac{9}{8}

$\frac{9}{8}$