Basic Math Examples

8 \div 1 \frac{1}{3}

$8 \div 1 \frac{1}{3}$

Step 1

Convert

1 \frac{1}{3}

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

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Step 1.1

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

8 \div (1 + \frac{1}{3})

$8 \div (1 + \frac{1}{3})$

Step 1.2

Add

1

$1$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

8 \div (\frac{3}{3} + \frac{1}{3})

$8 \div (\frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine the numerators over the common denominator.

8 \div \frac{3 + 1}{3}

$8 \div \frac{3 + 1}{3}$

Step 1.2.3

Add

3

$3$ and

1

$1$ .

8 \div \frac{4}{3}

$8 \div \frac{4}{3}$

8 \div \frac{4}{3}

$8 \div \frac{4}{3}$

8 \div \frac{4}{3}

$8 \div \frac{4}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

8 (\frac{3}{4})

$8 (\frac{3}{4})$

Step 3

Cancel the common factor of

4

$4$ .

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Step 3.1

Factor

4

$4$ out of

8

$8$ .

4 (2) \frac{3}{4}

$4 (2) \frac{3}{4}$

Step 3.2

Cancel the common factor.

4 \cdot 2 \frac{3}{4}

$4 \cdot 2 \frac{3}{4}$

Step 3.3

Rewrite the expression.

2 \cdot 3

$2 \cdot 3$

2 \cdot 3

$2 \cdot 3$

Step 4

Multiply

2

$2$ by

3

$3$ .

6

$6$