Basic Math Examples

2.125

$2.125$

Step 1

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

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

$10^{3}$

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

$2 \frac{125}{1000}$

Step 2

Reduce the fractional part of the mixed number.

$2 \frac{1}{8}$

Step 3

Convert

$2 \frac{1}{8}$ to an improper fraction.

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Step 3.1

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

$2 + \frac{1}{8}$

Step 3.2

Add

$2$ and

$\frac{1}{8}$ .

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Step 3.2.1

To write

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

$\frac{8}{8}$ .

$2 \cdot \frac{8}{8} + \frac{1}{8}$

Step 3.2.2

Combine

$2$ and

$\frac{8}{8}$ .

$\frac{2 \cdot 8}{8} + \frac{1}{8}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 8 + 1}{8}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

$2$ by

$8$ .

$\frac{16 + 1}{8}$

Step 3.2.4.2

Add

$16$ and

$1$ .

$\frac{17}{8}$