Basic Math Examples

34 \frac{2}{3} \div \frac{2}{3}

$34 \frac{2}{3} \div \frac{2}{3}$

Step 1

Convert

34 \frac{2}{3}

$34 \frac{2}{3}$ to an improper fraction.

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Step 1.1

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

(34 + \frac{2}{3}) \div \frac{2}{3}

$(34 + \frac{2}{3}) \div \frac{2}{3}$

Step 1.2

Add

34

$34$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 1.2.1

To write

34

$34$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

(34 \cdot \frac{3}{3} + \frac{2}{3}) \div \frac{2}{3}

$(34 \cdot \frac{3}{3} + \frac{2}{3}) \div \frac{2}{3}$

Step 1.2.2

Combine

34

$34$ and

\frac{3}{3}

$\frac{3}{3}$ .

(\frac{34 \cdot 3}{3} + \frac{2}{3}) \div \frac{2}{3}

$(\frac{34 \cdot 3}{3} + \frac{2}{3}) \div \frac{2}{3}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{34 \cdot 3 + 2}{3} \div \frac{2}{3}

$\frac{34 \cdot 3 + 2}{3} \div \frac{2}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

34

$34$ by

3

$3$ .

\frac{102 + 2}{3} \div \frac{2}{3}

$\frac{102 + 2}{3} \div \frac{2}{3}$

Step 1.2.4.2

Add

102

$102$ and

2

$2$ .

\frac{104}{3} \div \frac{2}{3}

$\frac{104}{3} \div \frac{2}{3}$

\frac{104}{3} \div \frac{2}{3}

$\frac{104}{3} \div \frac{2}{3}$

\frac{104}{3} \div \frac{2}{3}

$\frac{104}{3} \div \frac{2}{3}$

\frac{104}{3} \div \frac{2}{3}

$\frac{104}{3} \div \frac{2}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

\frac{104}{3} \cdot \frac{3}{2}

$\frac{104}{3} \cdot \frac{3}{2}$

Step 3

Cancel the common factor of

2

$2$ .

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Step 3.1

Factor

2

$2$ out of

104

$104$ .

\frac{2 (52)}{3} \cdot \frac{3}{2}

$\frac{2 (52)}{3} \cdot \frac{3}{2}$

Step 3.2

Cancel the common factor.

$\frac{2 \cdot 52}{3} \cdot \frac{3}{2}$

Step 3.3

Rewrite the expression.

$\frac{52}{3} \cdot 3$

Step 4

Cancel the common factor of

$3$ .

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Step 4.1

Cancel the common factor.

$\frac{52}{3} \cdot 3$

Step 4.2

Rewrite the expression.

$52$