Basic Math Examples

$\frac{1}{4} - 6 (2 + 9) \div (- 1) \cdot \frac{1}{3} (- \frac{1}{9})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Add $2$ and $9$ .

$\frac{1}{4} - 6 \cdot 11 \div (- 1) \cdot \frac{1}{3} \cdot (- \frac{1}{9})$

Step 1.2

Multiply $6$ by $11$ .

$\frac{1}{4} - 66 \div (- 1) \cdot \frac{1}{3} \cdot (- \frac{1}{9})$

Step 1.3

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.3.1

Move the leading negative in $- 66 \div (- 1)$ into the numerator.

$\frac{1}{4} + - 66 \div (- 1) \cdot \frac{1}{3} \cdot (- \frac{1}{9})$

Step 1.3.2

Factor $3$ out of $- 66$ .

$\frac{1}{4} + 3 (- 22) \div (- 1) \cdot \frac{1}{3} \cdot (- \frac{1}{9})$

Step 1.3.3

Cancel the common factor.

$\frac{1}{4} + 3 \cdot - 22 \div (- 1) \cdot \frac{1}{3} \cdot (- \frac{1}{9})$

Step 1.3.4

Rewrite the expression.

$\frac{1}{4} + \frac{- 22}{- 1} \cdot (- \frac{1}{9})$

Step 1.4

Divide $- 22$ by $- 1$ .

$\frac{1}{4} + 22 \cdot (- \frac{1}{9})$

Step 1.5

Multiply $22 (- \frac{1}{9})$ .

Tap for more steps...

Step 1.5.1

Multiply $- 1$ by $22$ .

$\frac{1}{4} - 22 (\frac{1}{9})$

Step 1.5.2

Combine $- 22$ and $\frac{1}{9}$ .

$\frac{1}{4} + \frac{- 22}{9}$

Step 1.6

Move the negative in front of the fraction.

$\frac{1}{4} - \frac{22}{9}$

Step 2

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{1}{4} \cdot \frac{9}{9} - \frac{22}{9}$

Step 3

To write $- \frac{22}{9}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{1}{4} \cdot \frac{9}{9} - \frac{22}{9} \cdot \frac{4}{4}$

Step 4

Write each expression with a common denominator of $36$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 4.1

Multiply $\frac{1}{4}$ by $\frac{9}{9}$ .

$\frac{9}{4 \cdot 9} - \frac{22}{9} \cdot \frac{4}{4}$

Step 4.2

Multiply $4$ by $9$ .

$\frac{9}{36} - \frac{22}{9} \cdot \frac{4}{4}$

Step 4.3

Multiply $\frac{22}{9}$ by $\frac{4}{4}$ .

$\frac{9}{36} - \frac{22 \cdot 4}{9 \cdot 4}$

Step 4.4

Multiply $9$ by $4$ .

$\frac{9}{36} - \frac{22 \cdot 4}{36}$

Step 5

Combine the numerators over the common denominator.

$\frac{9 - 22 \cdot 4}{36}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply $- 22$ by $4$ .

$\frac{9 - 88}{36}$

Step 6.2

Subtract $88$ from $9$ .

$\frac{- 79}{36}$

Step 7

Move the negative in front of the fraction.

$- \frac{79}{36}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{79}{36}$

Decimal Form:

$- 2.19\overline{4}$

Mixed Number Form:

$- 2 \frac{7}{36}$