Basic Math Examples

11.71

$11.71$

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{71}{100}

$11 \frac{71}{100}$

Step 2

Convert

11 \frac{71}{100}

$11 \frac{71}{100}$ to an improper fraction.

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Step 2.1

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

11 + \frac{71}{100}

$11 + \frac{71}{100}$

Step 2.2

Add

11

$11$ and

\frac{71}{100}

$\frac{71}{100}$ .

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Step 2.2.1

To write

11

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

\frac{100}{100}

$\frac{100}{100}$ .

11 \cdot \frac{100}{100} + \frac{71}{100}

$11 \cdot \frac{100}{100} + \frac{71}{100}$

Step 2.2.2

Combine

11

$11$ and

\frac{100}{100}

$\frac{100}{100}$ .

\frac{11 \cdot 100}{100} + \frac{71}{100}

$\frac{11 \cdot 100}{100} + \frac{71}{100}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{11 \cdot 100 + 71}{100}

$\frac{11 \cdot 100 + 71}{100}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

11

$11$ by

100

$100$ .

\frac{1100 + 71}{100}

$\frac{1100 + 71}{100}$

Step 2.2.4.2

Add

1100

$1100$ and

71

$71$ .

\frac{1171}{100}

$\frac{1171}{100}$

\frac{1171}{100}

$\frac{1171}{100}$

\frac{1171}{100}

$\frac{1171}{100}$

\frac{1171}{100}

$\frac{1171}{100}$