Basic Math Examples

$\frac{1}{3} + \frac{1}{3} + \frac{1}{3} - \frac{5}{27}$

Step 1

Combine fractions.

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Step 1.1

Combine the numerators over the common denominator.

$\frac{1 + 1 + 1}{3} + \frac{- 5}{27}$

Step 1.2

Simplify by adding numbers.

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Step 1.2.1

Add $1$ and $1$ .

$\frac{2 + 1}{3} + \frac{- 5}{27}$

Step 1.2.2

Add $2$ and $1$ .

$\frac{3}{3} + \frac{- 5}{27}$

Step 2

Simplify each term.

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Step 2.1

Divide $3$ by $3$ .

$1 + \frac{- 5}{27}$

Step 2.2

Move the negative in front of the fraction.

$1 - \frac{5}{27}$

Step 3

Simplify the expression.

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Step 3.1

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

$\frac{27}{27} - \frac{5}{27}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{27 - 5}{27}$

Step 3.3

Subtract $5$ from $27$ .

$\frac{22}{27}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{22}{27}$

Decimal Form:

$0.\overline{814}$