Basic Math Examples

0.1 + 2

$0.1 + 2$

Step 1

Add

0.1

$0.1$ and

2

$2$ .

2.1

$2.1$

Step 2

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.

2 \frac{1}{10}

$2 \frac{1}{10}$

Step 3

Convert

2 \frac{1}{10}

$2 \frac{1}{10}$ to an improper fraction.

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Step 3.1

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

2 + \frac{1}{10}

$2 + \frac{1}{10}$

Step 3.2

Add

2

$2$ and

\frac{1}{10}

$\frac{1}{10}$ .

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Step 3.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

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

$2 \cdot \frac{10}{10} + \frac{1}{10}$

Step 3.2.2

Combine

2

$2$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{2 \cdot 10}{10} + \frac{1}{10}

$\frac{2 \cdot 10}{10} + \frac{1}{10}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 10 + 1}{10}

$\frac{2 \cdot 10 + 1}{10}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

2

$2$ by

10

$10$ .

\frac{20 + 1}{10}

$\frac{20 + 1}{10}$

Step 3.2.4.2

Add

20

$20$ and

1

$1$ .

\frac{21}{10}

$\frac{21}{10}$

\frac{21}{10}

$\frac{21}{10}$

\frac{21}{10}

$\frac{21}{10}$

\frac{21}{10}

$\frac{21}{10}$