Basic Math Examples

34000 \div 43 \frac{3}{5}

$34000 \div 43 \frac{3}{5}$

Step 1

Convert

43 \frac{3}{5}

$43 \frac{3}{5}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

34000 \div (43 + \frac{3}{5})

$34000 \div (43 + \frac{3}{5})$

Step 1.2

Add

43

$43$ and

\frac{3}{5}

$\frac{3}{5}$ .

Tap for more steps...

Step 1.2.1

To write

43

$43$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

34000 \div (43 \cdot \frac{5}{5} + \frac{3}{5})

$34000 \div (43 \cdot \frac{5}{5} + \frac{3}{5})$

Step 1.2.2

Combine

43

$43$ and

\frac{5}{5}

$\frac{5}{5}$ .

34000 \div (\frac{43 \cdot 5}{5} + \frac{3}{5})

$34000 \div (\frac{43 \cdot 5}{5} + \frac{3}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

34000 \div \frac{43 \cdot 5 + 3}{5}

$34000 \div \frac{43 \cdot 5 + 3}{5}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

43

$43$ by

5

$5$ .

34000 \div \frac{215 + 3}{5}

$34000 \div \frac{215 + 3}{5}$

Step 1.2.4.2

Add

215

$215$ and

3

$3$ .

34000 \div \frac{218}{5}

$34000 \div \frac{218}{5}$

34000 \div \frac{218}{5}

$34000 \div \frac{218}{5}$

34000 \div \frac{218}{5}

$34000 \div \frac{218}{5}$

34000 \div \frac{218}{5}

$34000 \div \frac{218}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

34000 (\frac{5}{218})

$34000 (\frac{5}{218})$

Step 3

Cancel the common factor of

2

$2$ .

Tap for more steps...

Step 3.1

Factor

2

$2$ out of

34000

$34000$ .

2 (17000) \frac{5}{218}

$2 (17000) \frac{5}{218}$

Step 3.2

Factor

2

$2$ out of

$218$ .

$2 \cdot 17000 \frac{5}{2 \cdot 109}$

Step 3.3

Cancel the common factor.

$2 \cdot 17000 \frac{5}{2 \cdot 109}$

Step 3.4

Rewrite the expression.

$17000 (\frac{5}{109})$

Step 4

Combine

$17000$ and

$\frac{5}{109}$ .

$\frac{17000 \cdot 5}{109}$

Step 5

Multiply

$17000$ by

$5$ .

$\frac{85000}{109}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{85000}{109}$

Decimal Form:

$779.81651376 \dots$

Mixed Number Form:

$779 \frac{89}{109}$