Basic Math Examples

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

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

Step 1

Convert

1 \frac{1}{6}

$1 \frac{1}{6}$ 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

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

Step 1.2

Add

1

$1$ and

\frac{1}{6}

$\frac{1}{6}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

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

Step 1.2.3

Add

6

$6$ and

1

$1$ .

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

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

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

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

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

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

Step 2

Rewrite the division as a fraction.

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

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

Step 3

Cancel the common factor of

8

$8$ and

4

$4$ .

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Step 3.1

Factor

4

$4$ out of

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

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

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

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

4

$4$ out of

4

$4$ .

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

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

Step 3.2.2

Cancel the common factor.

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

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

Step 3.2.3

Rewrite the expression.

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

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

Step 3.2.4

Divide

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

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

1

$1$ .

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

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

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

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

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

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

Step 4

Combine the numerators over the common denominator.

2 \frac{7 + 5}{6}

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

Step 5

Add

7

$7$ and

5

$5$ .

2 (\frac{12}{6})

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

Step 6

Cancel the common factor of

2

$2$ .

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Step 6.1

Factor

2

$2$ out of

6

$6$ .

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

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

Step 6.2

Cancel the common factor.

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

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

Step 6.3

Rewrite the expression.

\frac{12}{3}

$\frac{12}{3}$

\frac{12}{3}

$\frac{12}{3}$

Step 7

Divide

12

$12$ by

3

$3$ .

4

$4$