Basic Math Examples

$101 \frac{459}{729}$

Step 1

Convert $101 \frac{459}{729}$ to an improper fraction.

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Step 1.1

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

$101 + \frac{459}{729}$

Step 1.2

Add $101$ and $\frac{459}{729}$ .

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Step 1.2.1

To write $101$ as a fraction with a common denominator, multiply by $\frac{729}{729}$ .

$101 \cdot \frac{729}{729} + \frac{459}{729}$

Step 1.2.2

Combine $101$ and $\frac{729}{729}$ .

$\frac{101 \cdot 729}{729} + \frac{459}{729}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{101 \cdot 729 + 459}{729}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $101$ by $729$ .

$\frac{73629 + 459}{729}$

Step 1.2.4.2

Add $73629$ and $459$ .

$\frac{74088}{729}$

Step 2

Cancel the common factor of $74088$ and $729$ .

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Step 2.1

Factor $27$ out of $74088$ .

$\frac{27 (2744)}{729}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $27$ out of $729$ .

$\frac{27 \cdot 2744}{27 \cdot 27}$

Step 2.2.2

Cancel the common factor.

$\frac{27 \cdot 2744}{27 \cdot 27}$

Step 2.2.3

Rewrite the expression.

$\frac{2744}{27}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{2744}{27}$

Decimal Form:

$101.\overline{629}$

Mixed Number Form:

$101 \frac{17}{27}$