Basic Math Examples

$9 \frac{45}{54}$

Step 1

Convert $9 \frac{45}{54}$ to an improper fraction.

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Step 1.1

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

$9 + \frac{45}{54}$

Step 1.2

Add $9$ and $\frac{45}{54}$ .

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Step 1.2.1

To write $9$ as a fraction with a common denominator, multiply by $\frac{54}{54}$ .

$9 \cdot \frac{54}{54} + \frac{45}{54}$

Step 1.2.2

Combine $9$ and $\frac{54}{54}$ .

$\frac{9 \cdot 54}{54} + \frac{45}{54}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{9 \cdot 54 + 45}{54}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $9$ by $54$ .

$\frac{486 + 45}{54}$

Step 1.2.4.2

Add $486$ and $45$ .

$\frac{531}{54}$

Step 2

Cancel the common factor of $531$ and $54$ .

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Step 2.1

Factor $9$ out of $531$ .

$\frac{9 (59)}{54}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $9$ out of $54$ .

$\frac{9 \cdot 59}{9 \cdot 6}$

Step 2.2.2

Cancel the common factor.

$\frac{9 \cdot 59}{9 \cdot 6}$

Step 2.2.3

Rewrite the expression.

$\frac{59}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{59}{6}$

Decimal Form:

$9.8\overline{3}$

Mixed Number Form:

$9 \frac{5}{6}$