Basic Math Examples

$\frac{1}{3} - 30 + 26$

Step 1

Find the common denominator.

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Step 1.1

Write $- 30$ as a fraction with denominator $1$ .

$\frac{1}{3} + \frac{- 30}{1} + 26$

Step 1.2

Multiply $\frac{- 30}{1}$ by $\frac{3}{3}$ .

$\frac{1}{3} + \frac{- 30}{1} \cdot \frac{3}{3} + 26$

Step 1.3

Multiply $\frac{- 30}{1}$ by $\frac{3}{3}$ .

$\frac{1}{3} + \frac{- 30 \cdot 3}{3} + 26$

Step 1.4

Write $26$ as a fraction with denominator $1$ .

$\frac{1}{3} + \frac{- 30 \cdot 3}{3} + \frac{26}{1}$

Step 1.5

Multiply $\frac{26}{1}$ by $\frac{3}{3}$ .

$\frac{1}{3} + \frac{- 30 \cdot 3}{3} + \frac{26}{1} \cdot \frac{3}{3}$

Step 1.6

Multiply $\frac{26}{1}$ by $\frac{3}{3}$ .

$\frac{1}{3} + \frac{- 30 \cdot 3}{3} + \frac{26 \cdot 3}{3}$

Step 2

Combine the numerators over the common denominator.

$\frac{1 - 30 \cdot 3 + 26 \cdot 3}{3}$

Step 3

Simplify each term.

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Step 3.1

Multiply $- 30$ by $3$ .

$\frac{1 - 90 + 26 \cdot 3}{3}$

Step 3.2

Multiply $26$ by $3$ .

$\frac{1 - 90 + 78}{3}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $90$ from $1$ .

$\frac{- 89 + 78}{3}$

Step 4.2

Add $- 89$ and $78$ .

$\frac{- 11}{3}$

Step 4.3

Move the negative in front of the fraction.

$- \frac{11}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{11}{3}$

Decimal Form:

$- 3.\overline{6}$

Mixed Number Form:

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