Basic Math Examples

$\frac{11}{3} - \frac{11}{6} \cdot \frac{2}{5}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Move the leading negative in $- \frac{11}{6}$ into the numerator.

$\frac{11}{3} + \frac{- 11}{6} \cdot \frac{2}{5}$

Step 1.1.2

Factor $2$ out of $6$ .

$\frac{11}{3} + \frac{- 11}{2 (3)} \cdot \frac{2}{5}$

Step 1.1.3

Cancel the common factor.

$\frac{11}{3} + \frac{- 11}{2 \cdot 3} \cdot \frac{2}{5}$

Step 1.1.4

Rewrite the expression.

$\frac{11}{3} + \frac{- 11}{3} \cdot \frac{1}{5}$

Step 1.2

Multiply $\frac{- 11}{3}$ by $\frac{1}{5}$ .

$\frac{11}{3} + \frac{- 11}{3 \cdot 5}$

Step 1.3

Multiply $3$ by $5$ .

$\frac{11}{3} + \frac{- 11}{15}$

Step 1.4

Move the negative in front of the fraction.

$\frac{11}{3} - \frac{11}{15}$

Step 2

To write $\frac{11}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{11}{3} \cdot \frac{5}{5} - \frac{11}{15}$

Step 3

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{11}{3}$ by $\frac{5}{5}$ .

$\frac{11 \cdot 5}{3 \cdot 5} - \frac{11}{15}$

Step 3.2

Multiply $3$ by $5$ .

$\frac{11 \cdot 5}{15} - \frac{11}{15}$

Step 4

Combine the numerators over the common denominator.

$\frac{11 \cdot 5 - 11}{15}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $11$ by $5$ .

$\frac{55 - 11}{15}$

Step 5.2

Subtract $11$ from $55$ .

$\frac{44}{15}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{44}{15}$

Decimal Form:

$2.9\overline{3}$

Mixed Number Form:

$2 \frac{14}{15}$