Basic Math Examples

$4.18$

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.

$4 \frac{18}{100}$

Step 2

Reduce the fractional part of the mixed number.

$4 \frac{9}{50}$

Step 3

Convert

$4 \frac{9}{50}$ to an improper fraction.

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Step 3.1

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

$4 + \frac{9}{50}$

Step 3.2

Add

$4$ and

$\frac{9}{50}$ .

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Step 3.2.1

To write

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

$\frac{50}{50}$ .

$4 \cdot \frac{50}{50} + \frac{9}{50}$

Step 3.2.2

Combine

$4$ and

$\frac{50}{50}$ .

$\frac{4 \cdot 50}{50} + \frac{9}{50}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 50 + 9}{50}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

$4$ by

$50$ .

$\frac{200 + 9}{50}$

Step 3.2.4.2

Add

$200$ and

$9$ .

$\frac{209}{50}$