Basic Math Examples

$\frac{\frac{15}{1}}{1 \frac{8}{17}}$

Step 1

Convert $1 \frac{8}{17}$ to an improper fraction.

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Step 1.1

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

$\frac{\frac{15}{1}}{1 + \frac{8}{17}}$

Step 1.2

Add $1$ and $\frac{8}{17}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{\frac{15}{1}}{\frac{17}{17} + \frac{8}{17}}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{\frac{15}{1}}{\frac{17 + 8}{17}}$

Step 1.2.3

Add $17$ and $8$ .

$\frac{\frac{15}{1}}{\frac{25}{17}}$

Step 2

Divide $15$ by $1$ .

$\frac{15}{\frac{25}{17}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$15 (\frac{17}{25})$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Factor $5$ out of $15$ .

$5 (3) \frac{17}{25}$

Step 4.2

Factor $5$ out of $25$ .

$5 \cdot 3 \frac{17}{5 \cdot 5}$

Step 4.3

Cancel the common factor.

$5 \cdot 3 \frac{17}{5 \cdot 5}$

Step 4.4

Rewrite the expression.

$3 (\frac{17}{5})$

Step 5

Combine $3$ and $\frac{17}{5}$ .

$\frac{3 \cdot 17}{5}$

Step 6

Multiply $3$ by $17$ .

$\frac{51}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{51}{5}$

Decimal Form:

$10.2$

Mixed Number Form:

$10 \frac{1}{5}$