Basic Math Examples

2.33

$2.33$

Step 1

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

2

$2$ numbers to the right of the decimal point, place the decimal number over

10^{2}

$10^{2}$

(100)

$(100)$ . Next, add the whole number to the left of the decimal.

2 \frac{33}{100}

$2 \frac{33}{100}$

Step 2

Convert

2 \frac{33}{100}

$2 \frac{33}{100}$ to an improper fraction.

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Step 2.1

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

2 + \frac{33}{100}

$2 + \frac{33}{100}$

Step 2.2

Add

2

$2$ and

\frac{33}{100}

$\frac{33}{100}$ .

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Step 2.2.1

To write

2

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

\frac{100}{100}

$\frac{100}{100}$ .

2 \cdot \frac{100}{100} + \frac{33}{100}

$2 \cdot \frac{100}{100} + \frac{33}{100}$

Step 2.2.2

Combine

2

$2$ and

\frac{100}{100}

$\frac{100}{100}$ .

\frac{2 \cdot 100}{100} + \frac{33}{100}

$\frac{2 \cdot 100}{100} + \frac{33}{100}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 100 + 33}{100}

$\frac{2 \cdot 100 + 33}{100}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

2

$2$ by

100

$100$ .

\frac{200 + 33}{100}

$\frac{200 + 33}{100}$

Step 2.2.4.2

Add

200

$200$ and

33

$33$ .

\frac{233}{100}

$\frac{233}{100}$

\frac{233}{100}

$\frac{233}{100}$

\frac{233}{100}

$\frac{233}{100}$

\frac{233}{100}

$\frac{233}{100}$