Basic Math Examples

$8 (1 \frac{1}{6} + \frac{5}{6}) \div 4$

Step 1

Convert $1 \frac{1}{6}$ to an improper fraction.

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Step 1.1

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

$8 (1 + \frac{1}{6} + \frac{5}{6}) \div 4$

Step 1.2

Add $1$ and $\frac{1}{6}$ .

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Step 1.2.1

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

$8 (\frac{6}{6} + \frac{1}{6} + \frac{5}{6}) \div 4$

Step 1.2.2

Combine the numerators over the common denominator.

$8 (\frac{6 + 1}{6} + \frac{5}{6}) \div 4$

Step 1.2.3

Add $6$ and $1$ .

$8 (\frac{7}{6} + \frac{5}{6}) \div 4$

Step 2

Rewrite the division as a fraction.

$\frac{8 (\frac{7}{6} + \frac{5}{6})}{4}$

Step 3

Cancel the common factor of $8$ and $4$ .

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Step 3.1

Factor $4$ out of $8 (\frac{7}{6} + \frac{5}{6})$ .

$\frac{4 (2 (\frac{7}{6} + \frac{5}{6}))}{4}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $4$ .

$\frac{4 (2 (\frac{7}{6} + \frac{5}{6}))}{4 (1)}$

Step 3.2.2

Cancel the common factor.

$\frac{4 (2 (\frac{7}{6} + \frac{5}{6}))}{4 \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{2 (\frac{7}{6} + \frac{5}{6})}{1}$

Step 3.2.4

Divide $2 (\frac{7}{6} + \frac{5}{6})$ by $1$ .

$2 (\frac{7}{6} + \frac{5}{6})$

Step 4

Combine the numerators over the common denominator.

$2 \frac{7 + 5}{6}$

Step 5

Add $7$ and $5$ .

$2 (\frac{12}{6})$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $6$ .

$2 \frac{12}{2 (3)}$

Step 6.2

Cancel the common factor.

$2 \frac{12}{2 \cdot 3}$

Step 6.3

Rewrite the expression.

$\frac{12}{3}$

Step 7

Divide $12$ by $3$ .

$4$