Basic Math Examples

\frac{1}{10} + \frac{1}{100}

$\frac{1}{10} + \frac{1}{100}$

Step 1

To write

\frac{1}{10}

$\frac{1}{10}$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

\frac{1}{10} \cdot \frac{10}{10} + \frac{1}{100}

$\frac{1}{10} \cdot \frac{10}{10} + \frac{1}{100}$

Step 2

Write each expression with a common denominator of

100

$100$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{1}{10}

$\frac{1}{10}$ by

\frac{10}{10}

$\frac{10}{10}$ .

\frac{10}{10 \cdot 10} + \frac{1}{100}

$\frac{10}{10 \cdot 10} + \frac{1}{100}$

Step 2.2

Multiply

10

$10$ by

10

$10$ .

\frac{10}{100} + \frac{1}{100}

$\frac{10}{100} + \frac{1}{100}$

\frac{10}{100} + \frac{1}{100}

$\frac{10}{100} + \frac{1}{100}$

Step 3

Combine the numerators over the common denominator.

\frac{10 + 1}{100}

$\frac{10 + 1}{100}$

Step 4

Add

10

$10$ and

1

$1$ .

\frac{11}{100}

$\frac{11}{100}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{11}{100}

$\frac{11}{100}$

Decimal Form:

0.11

$0.11$