Basic Math Examples

\frac{1 \frac{1}{4}}{100}

$\frac{1 \frac{1}{4}}{100}$

Step 1

Convert

1 \frac{1}{4}

$1 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

\frac{1 + \frac{1}{4}}{100}

$\frac{1 + \frac{1}{4}}{100}$

Step 1.2

Add

1

$1$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{\frac{4}{4} + \frac{1}{4}}{100}

$\frac{\frac{4}{4} + \frac{1}{4}}{100}$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{\frac{4 + 1}{4}}{100}

$\frac{\frac{4 + 1}{4}}{100}$

Step 1.2.3

Add

4

$4$ and

1

$1$ .

\frac{\frac{5}{4}}{100}

$\frac{\frac{5}{4}}{100}$

\frac{\frac{5}{4}}{100}

$\frac{\frac{5}{4}}{100}$

\frac{\frac{5}{4}}{100}

$\frac{\frac{5}{4}}{100}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

\frac{5}{4} \cdot \frac{1}{100}

$\frac{5}{4} \cdot \frac{1}{100}$

Step 3

Cancel the common factor of

5

$5$ .

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Step 3.1

Factor

5

$5$ out of

100

$100$ .

\frac{5}{4} \cdot \frac{1}{5 (20)}

$\frac{5}{4} \cdot \frac{1}{5 (20)}$

Step 3.2

Cancel the common factor.

$\frac{5}{4} \cdot \frac{1}{5 \cdot 20}$

Step 3.3

Rewrite the expression.

$\frac{1}{4} \cdot \frac{1}{20}$

Step 4

Multiply

$\frac{1}{4}$ by

$\frac{1}{20}$ .

$\frac{1}{4 \cdot 20}$

Step 5

Multiply

$4$ by

$20$ .

$\frac{1}{80}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{80}$

Decimal Form:

$0.0125$