Basic Math Examples

$1 - (\frac{1}{5} - \frac{2}{10} - \frac{1}{10})$

Step 1

Simplify each term.

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Step 1.1

Combine the numerators over the common denominator.

$1 - (\frac{1}{5} + \frac{- 2 - 1}{10})$

Step 1.2

Subtract $1$ from $- 2$ .

$1 - (\frac{1}{5} + \frac{- 3}{10})$

Step 1.3

Move the negative in front of the fraction.

$1 - (\frac{1}{5} - \frac{3}{10})$

Step 1.4

To write $\frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$1 - (\frac{1}{5} \cdot \frac{2}{2} - \frac{3}{10})$

Step 1.5

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 1.5.1

Multiply $\frac{1}{5}$ by $\frac{2}{2}$ .

$1 - (\frac{2}{5 \cdot 2} - \frac{3}{10})$

Step 1.5.2

Multiply $5$ by $2$ .

$1 - (\frac{2}{10} - \frac{3}{10})$

Step 1.6

Combine the numerators over the common denominator.

$1 - \frac{2 - 3}{10}$

Step 1.7

Subtract $3$ from $2$ .

$1 - \frac{- 1}{10}$

Step 1.8

Move the negative in front of the fraction.

$1 - - \frac{1}{10}$

Step 1.9

Multiply $- - \frac{1}{10}$ .

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Step 1.9.1

Multiply $- 1$ by $- 1$ .

$1 + 1 (\frac{1}{10})$

Step 1.9.2

Multiply $\frac{1}{10}$ by $1$ .

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

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 2.3

Add $10$ and $1$ .

$\frac{11}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{10}$

Decimal Form:

$1.1$

Mixed Number Form:

$1 \frac{1}{10}$