Basic Math Examples

\frac{42 \frac{1}{2}}{100}

$\frac{42 \frac{1}{2}}{100}$

Step 1

Convert

42 \frac{1}{2}

$42 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

\frac{42 + \frac{1}{2}}{100}

$\frac{42 + \frac{1}{2}}{100}$

Step 1.2

Add

42

$42$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

42

$42$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{42 \cdot \frac{2}{2} + \frac{1}{2}}{100}

$\frac{42 \cdot \frac{2}{2} + \frac{1}{2}}{100}$

Step 1.2.2

Combine

42

$42$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{\frac{42 \cdot 2}{2} + \frac{1}{2}}{100}

$\frac{\frac{42 \cdot 2}{2} + \frac{1}{2}}{100}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{\frac{42 \cdot 2 + 1}{2}}{100}

$\frac{\frac{42 \cdot 2 + 1}{2}}{100}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

42

$42$ by

2

$2$ .

\frac{\frac{84 + 1}{2}}{100}

$\frac{\frac{84 + 1}{2}}{100}$

Step 1.2.4.2

Add

84

$84$ and

1

$1$ .

\frac{\frac{85}{2}}{100}

$\frac{\frac{85}{2}}{100}$

\frac{\frac{85}{2}}{100}

$\frac{\frac{85}{2}}{100}$

\frac{\frac{85}{2}}{100}

$\frac{\frac{85}{2}}{100}$

\frac{\frac{85}{2}}{100}

$\frac{\frac{85}{2}}{100}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

\frac{85}{2} \cdot \frac{1}{100}

$\frac{85}{2} \cdot \frac{1}{100}$

Step 3

Cancel the common factor of

5

$5$ .

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Step 3.1

Factor

5

$5$ out of

85

$85$ .

\frac{5 (17)}{2} \cdot \frac{1}{100}

$\frac{5 (17)}{2} \cdot \frac{1}{100}$

Step 3.2

Factor

5

$5$ out of

100

$100$ .

\frac{5 \cdot 17}{2} \cdot \frac{1}{5 \cdot 20}

$\frac{5 \cdot 17}{2} \cdot \frac{1}{5 \cdot 20}$

Step 3.3

Cancel the common factor.

$\frac{5 \cdot 17}{2} \cdot \frac{1}{5 \cdot 20}$

Step 3.4

Rewrite the expression.

$\frac{17}{2} \cdot \frac{1}{20}$

Step 4

Multiply

$\frac{17}{2}$ by

$\frac{1}{20}$ .

$\frac{17}{2 \cdot 20}$

Step 5

Multiply

$2$ by

$20$ .

$\frac{17}{40}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{40}$

Decimal Form:

$0.425$