Basic Math Examples

11.56

$11.56$

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.

11 \frac{56}{100}

$11 \frac{56}{100}$

Step 2

Reduce the fractional part of the mixed number.

11 \frac{14}{25}

$11 \frac{14}{25}$

Step 3

Convert

11 \frac{14}{25}

$11 \frac{14}{25}$ to an improper fraction.

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Step 3.1

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

11 + \frac{14}{25}

$11 + \frac{14}{25}$

Step 3.2

Add

11

$11$ and

\frac{14}{25}

$\frac{14}{25}$ .

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Step 3.2.1

To write

11

$11$ as a fraction with a common denominator, multiply by

\frac{25}{25}

$\frac{25}{25}$ .

11 \cdot \frac{25}{25} + \frac{14}{25}

$11 \cdot \frac{25}{25} + \frac{14}{25}$

Step 3.2.2

Combine

11

$11$ and

\frac{25}{25}

$\frac{25}{25}$ .

\frac{11 \cdot 25}{25} + \frac{14}{25}

$\frac{11 \cdot 25}{25} + \frac{14}{25}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{11 \cdot 25 + 14}{25}

$\frac{11 \cdot 25 + 14}{25}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

11

$11$ by

25

$25$ .

\frac{275 + 14}{25}

$\frac{275 + 14}{25}$

Step 3.2.4.2

Add

275

$275$ and

14

$14$ .

\frac{289}{25}

$\frac{289}{25}$

\frac{289}{25}

$\frac{289}{25}$

\frac{289}{25}

$\frac{289}{25}$

\frac{289}{25}

$\frac{289}{25}$