Basic Math Examples

$1 \frac{1}{8} \div \frac{1}{4}$

Step 1

Convert

$1 \frac{1}{8}$ to an improper fraction.

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Step 1.1

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

$(1 + \frac{1}{8}) \div \frac{1}{4}$

Step 1.2

Add

$1$ and

$\frac{1}{8}$ .

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Step 1.2.1

Write

$1$ as a fraction with a common denominator.

$(\frac{8}{8} + \frac{1}{8}) \div \frac{1}{4}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{8 + 1}{8} \div \frac{1}{4}$

Step 1.2.3

Add

$8$ and

$1$ .

$\frac{9}{8} \div \frac{1}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{8} \cdot 4$

Step 3

Cancel the common factor of

$4$ .

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Step 3.1

Factor

$4$ out of

$8$ .

$\frac{9}{4 (2)} \cdot 4$

Step 3.2

Cancel the common factor.

$\frac{9}{4 \cdot 2} \cdot 4$

Step 3.3

Rewrite the expression.

$\frac{9}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{2}$

Decimal Form:

$4.5$

Mixed Number Form:

$4 \frac{1}{2}$