Basic Math Examples

11.1

$11.1$

Step 1

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

1

$1$ number to the right of the decimal point, place the decimal number over

10^{1}

$10^{1}$

(10)

$(10)$ . Next, add the whole number to the left of the decimal.

11 \frac{1}{10}

$11 \frac{1}{10}$

Step 2

Convert

11 \frac{1}{10}

$11 \frac{1}{10}$ 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{1}{10}

$11 + \frac{1}{10}$

Step 2.2

Add

11

$11$ and

\frac{1}{10}

$\frac{1}{10}$ .

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Step 2.2.1

To write

11

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

\frac{10}{10}

$\frac{10}{10}$ .

11 \cdot \frac{10}{10} + \frac{1}{10}

$11 \cdot \frac{10}{10} + \frac{1}{10}$

Step 2.2.2

Combine

11

$11$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{11 \cdot 10}{10} + \frac{1}{10}

$\frac{11 \cdot 10}{10} + \frac{1}{10}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{11 \cdot 10 + 1}{10}

$\frac{11 \cdot 10 + 1}{10}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

11

$11$ by

10

$10$ .

\frac{110 + 1}{10}

$\frac{110 + 1}{10}$

Step 2.2.4.2

Add

110

$110$ and

1

$1$ .

\frac{111}{10}

$\frac{111}{10}$

\frac{111}{10}

$\frac{111}{10}$

\frac{111}{10}

$\frac{111}{10}$

\frac{111}{10}

$\frac{111}{10}$