Basic Math Examples

$3 (\frac{1}{5} - 6 (1 \frac{1}{3} - 2)) \div 8$

Step 1

Convert $1 \frac{1}{3}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

$3 (\frac{1}{5} - 6 (1 + \frac{1}{3} - 2)) \div 8$

Step 1.2

Add $1$ and $\frac{1}{3}$ .

Tap for more steps...

Step 1.2.1

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

$3 (\frac{1}{5} - 6 (\frac{3}{3} + \frac{1}{3} - 2)) \div 8$

Step 1.2.2

Combine the numerators over the common denominator.

$3 (\frac{1}{5} - 6 (\frac{3 + 1}{3} - 2)) \div 8$

Step 1.2.3

Add $3$ and $1$ .

$3 (\frac{1}{5} - 6 (\frac{4}{3} - 2)) \div 8$

Step 2

Rewrite the division as a fraction.

$\frac{3 (\frac{1}{5} - 6 (\frac{4}{3} - 2))}{8}$

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{3 (\frac{1}{5} - 6 (\frac{4}{3} - 2 \cdot \frac{3}{3}))}{8}$

Step 3.2

Combine $- 2$ and $\frac{3}{3}$ .

$\frac{3 (\frac{1}{5} - 6 (\frac{4}{3} + \frac{- 2 \cdot 3}{3}))}{8}$

Step 3.3

Combine the numerators over the common denominator.

$\frac{3 (\frac{1}{5} - 6 \frac{4 - 2 \cdot 3}{3})}{8}$

Step 3.4

Simplify the numerator.

Tap for more steps...

Step 3.4.1

Multiply $- 2$ by $3$ .

$\frac{3 (\frac{1}{5} - 6 \frac{4 - 6}{3})}{8}$

Step 3.4.2

Subtract $6$ from $4$ .

$\frac{3 (\frac{1}{5} - 6 (\frac{- 2}{3}))}{8}$

Step 3.5

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.5.1

Factor $3$ out of $- 6$ .

$\frac{3 (\frac{1}{5} + 3 (- 2) \frac{- 2}{3})}{8}$

Step 3.5.2

Cancel the common factor.

$\frac{3 (\frac{1}{5} + 3 \cdot - 2 \frac{- 2}{3})}{8}$

Step 3.5.3

Rewrite the expression.

$\frac{3 (\frac{1}{5} - 2 \cdot - 2)}{8}$

Step 3.6

Multiply $- 2$ by $- 2$ .

$\frac{3 (\frac{1}{5} + 4)}{8}$

Step 3.7

To write $4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{3 (\frac{1}{5} + 4 \cdot \frac{5}{5})}{8}$

Step 3.8

Combine $4$ and $\frac{5}{5}$ .

$\frac{3 (\frac{1}{5} + \frac{4 \cdot 5}{5})}{8}$

Step 3.9

Combine the numerators over the common denominator.

$\frac{3 \frac{1 + 4 \cdot 5}{5}}{8}$

Step 3.10

Simplify the numerator.

Tap for more steps...

Step 3.10.1

Multiply $4$ by $5$ .

$\frac{3 \frac{1 + 20}{5}}{8}$

Step 3.10.2

Add $1$ and $20$ .

$\frac{3 (\frac{21}{5})}{8}$

Step 4

Combine fractions.

Tap for more steps...

Step 4.1

Combine $3$ and $\frac{21}{5}$ .

$\frac{\frac{3 \cdot 21}{5}}{8}$

Step 4.2

Multiply $3$ by $21$ .

$\frac{\frac{63}{5}}{8}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{63}{5} \cdot \frac{1}{8}$

Step 6

Multiply $\frac{63}{5} \cdot \frac{1}{8}$ .

Tap for more steps...

Step 6.1

Multiply $\frac{63}{5}$ by $\frac{1}{8}$ .

$\frac{63}{5 \cdot 8}$

Step 6.2

Multiply $5$ by $8$ .

$\frac{63}{40}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{63}{40}$

Decimal Form:

$1.575$

Mixed Number Form:

$1 \frac{23}{40}$