Basic Math Examples

240 \div 62 \frac{1}{2}

$240 \div 62 \frac{1}{2}$

Step 1

Convert

62 \frac{1}{2}

$62 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

240 \div (62 + \frac{1}{2})

$240 \div (62 + \frac{1}{2})$

Step 1.2

Add

62

$62$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

62

$62$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

240 \div (62 \cdot \frac{2}{2} + \frac{1}{2})

$240 \div (62 \cdot \frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine

62

$62$ and

\frac{2}{2}

$\frac{2}{2}$ .

240 \div (\frac{62 \cdot 2}{2} + \frac{1}{2})

$240 \div (\frac{62 \cdot 2}{2} + \frac{1}{2})$

Step 1.2.3

Combine the numerators over the common denominator.

240 \div \frac{62 \cdot 2 + 1}{2}

$240 \div \frac{62 \cdot 2 + 1}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

62

$62$ by

2

$2$ .

240 \div \frac{124 + 1}{2}

$240 \div \frac{124 + 1}{2}$

Step 1.2.4.2

Add

124

$124$ and

1

$1$ .

240 \div \frac{125}{2}

$240 \div \frac{125}{2}$

240 \div \frac{125}{2}

$240 \div \frac{125}{2}$

240 \div \frac{125}{2}

$240 \div \frac{125}{2}$

240 \div \frac{125}{2}

$240 \div \frac{125}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

240 (\frac{2}{125})

$240 (\frac{2}{125})$

Step 3

Cancel the common factor of

5

$5$ .

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Step 3.1

Factor

5

$5$ out of

240

$240$ .

5 (48) \frac{2}{125}

$5 (48) \frac{2}{125}$

Step 3.2

Factor

5

$5$ out of

125

$125$ .

5 \cdot 48 \frac{2}{5 \cdot 25}

$5 \cdot 48 \frac{2}{5 \cdot 25}$

Step 3.3

Cancel the common factor.

5 \cdot 48 \frac{2}{5 \cdot 25}

$5 \cdot 48 \frac{2}{5 \cdot 25}$

Step 3.4

Rewrite the expression.

48 (\frac{2}{25})

$48 (\frac{2}{25})$

48 (\frac{2}{25})

$48 (\frac{2}{25})$

Step 4

Combine

48

$48$ and

\frac{2}{25}

$\frac{2}{25}$ .

\frac{48 \cdot 2}{25}

$\frac{48 \cdot 2}{25}$

Step 5

Multiply

48

$48$ by

2

$2$ .

\frac{96}{25}

$\frac{96}{25}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{96}{25}

$\frac{96}{25}$

Decimal Form:

3.84

$3.84$

Mixed Number Form:

3 \frac{21}{25}

$3 \frac{21}{25}$