Basic Math Examples

$3 - \frac{1}{3} - \frac{1}{3} - \frac{1}{4}$

Step 1

Combine the numerators over the common denominator.

$3 + \frac{- 1 - 1}{3} + \frac{- 1}{4}$

Step 2

Subtract $1$ from $- 1$ .

$3 + \frac{- 2}{3} + \frac{- 1}{4}$

Step 3

Find the common denominator.

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Step 3.1

Write $3$ as a fraction with denominator $1$ .

$\frac{3}{1} + \frac{- 2}{3} + \frac{- 1}{4}$

Step 3.2

Multiply $\frac{3}{1}$ by $\frac{12}{12}$ .

$\frac{3}{1} \cdot \frac{12}{12} + \frac{- 2}{3} + \frac{- 1}{4}$

Step 3.3

Multiply $\frac{3}{1}$ by $\frac{12}{12}$ .

$\frac{3 \cdot 12}{12} + \frac{- 2}{3} + \frac{- 1}{4}$

Step 3.4

Multiply $\frac{- 2}{3}$ by $\frac{4}{4}$ .

$\frac{3 \cdot 12}{12} + \frac{- 2}{3} \cdot \frac{4}{4} + \frac{- 1}{4}$

Step 3.5

Multiply $\frac{- 2}{3}$ by $\frac{4}{4}$ .

$\frac{3 \cdot 12}{12} + \frac{- 2 \cdot 4}{3 \cdot 4} + \frac{- 1}{4}$

Step 3.6

Multiply $\frac{- 1}{4}$ by $\frac{3}{3}$ .

$\frac{3 \cdot 12}{12} + \frac{- 2 \cdot 4}{3 \cdot 4} + \frac{- 1}{4} \cdot \frac{3}{3}$

Step 3.7

Multiply $\frac{- 1}{4}$ by $\frac{3}{3}$ .

$\frac{3 \cdot 12}{12} + \frac{- 2 \cdot 4}{3 \cdot 4} + \frac{- 1 \cdot 3}{4 \cdot 3}$

Step 3.8

Multiply $3$ by $4$ .

$\frac{3 \cdot 12}{12} + \frac{- 2 \cdot 4}{12} + \frac{- 1 \cdot 3}{4 \cdot 3}$

Step 3.9

Reorder the factors of $4 \cdot 3$ .

$\frac{3 \cdot 12}{12} + \frac{- 2 \cdot 4}{12} + \frac{- 1 \cdot 3}{3 \cdot 4}$

Step 3.10

Multiply $3$ by $4$ .

$\frac{3 \cdot 12}{12} + \frac{- 2 \cdot 4}{12} + \frac{- 1 \cdot 3}{12}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 12 - 2 \cdot 4 - 1 \cdot 3}{12}$

Step 5

Simplify each term.

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Step 5.1

Multiply $3$ by $12$ .

$\frac{36 - 2 \cdot 4 - 1 \cdot 3}{12}$

Step 5.2

Multiply $- 2$ by $4$ .

$\frac{36 - 8 - 1 \cdot 3}{12}$

Step 5.3

Multiply $- 1$ by $3$ .

$\frac{36 - 8 - 3}{12}$

Step 6

Simplify by subtracting numbers.

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Step 6.1

Subtract $8$ from $36$ .

$\frac{28 - 3}{12}$

Step 6.2

Subtract $3$ from $28$ .

$\frac{25}{12}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{12}$

Decimal Form:

$2.08\overline{3}$

Mixed Number Form:

$2 \frac{1}{12}$