Basic Math Examples

$62 \frac{1}{2} \cdot 17 \frac{1}{9}$

Step 1

Convert $62 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

$(62 + \frac{1}{2}) \cdot 17 \frac{1}{9}$

Step 1.2

Add $62$ and $\frac{1}{2}$ .

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Step 1.2.1

To write $62$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(62 \cdot \frac{2}{2} + \frac{1}{2}) \cdot 17 \frac{1}{9}$

Step 1.2.2

Combine $62$ and $\frac{2}{2}$ .

$(\frac{62 \cdot 2}{2} + \frac{1}{2}) \cdot 17 \frac{1}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{62 \cdot 2 + 1}{2} \cdot 17 \frac{1}{9}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $62$ by $2$ .

$\frac{124 + 1}{2} \cdot 17 \frac{1}{9}$

Step 1.2.4.2

Add $124$ and $1$ .

$\frac{125}{2} \cdot 17 \frac{1}{9}$

Step 2

Convert $17 \frac{1}{9}$ to an improper fraction.

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Step 2.1

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

$\frac{125}{2} \cdot (17 + \frac{1}{9})$

Step 2.2

Add $17$ and $\frac{1}{9}$ .

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Step 2.2.1

To write $17$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{125}{2} \cdot (17 \cdot \frac{9}{9} + \frac{1}{9})$

Step 2.2.2

Combine $17$ and $\frac{9}{9}$ .

$\frac{125}{2} \cdot (\frac{17 \cdot 9}{9} + \frac{1}{9})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{125}{2} \cdot \frac{17 \cdot 9 + 1}{9}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $17$ by $9$ .

$\frac{125}{2} \cdot \frac{153 + 1}{9}$

Step 2.2.4.2

Add $153$ and $1$ .

$\frac{125}{2} \cdot \frac{154}{9}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $154$ .

$\frac{125}{2} \cdot \frac{2 (77)}{9}$

Step 3.2

Cancel the common factor.

$\frac{125}{2} \cdot \frac{2 \cdot 77}{9}$

Step 3.3

Rewrite the expression.

$125 \cdot \frac{77}{9}$

Step 4

Combine $125$ and $\frac{77}{9}$ .

$\frac{125 \cdot 77}{9}$

Step 5

Multiply $125$ by $77$ .

$\frac{9625}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9625}{9}$

Decimal Form:

$1069.\overline{4}$

Mixed Number Form:

$1069 \frac{4}{9}$