Basic Math Examples

$4.17$

Step 1

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

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

$10^{2}$

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

$4 \frac{17}{100}$

Step 2

Convert

$4 \frac{17}{100}$ to an improper fraction.

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Step 2.1

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

$4 + \frac{17}{100}$

Step 2.2

Add

$4$ and

$\frac{17}{100}$ .

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Step 2.2.1

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{100}{100}$ .

$4 \cdot \frac{100}{100} + \frac{17}{100}$

Step 2.2.2

Combine

$4$ and

$\frac{100}{100}$ .

$\frac{4 \cdot 100}{100} + \frac{17}{100}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 100 + 17}{100}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$4$ by

$100$ .

$\frac{400 + 17}{100}$

Step 2.2.4.2

Add

$400$ and

$17$ .

$\frac{417}{100}$