Pre-Algebra Examples

$\frac{17}{4} \div \frac{3}{4} \div \frac{15}{7}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{17}{4} \div \frac{3}{4} \cdot \frac{7}{15}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{17}{4} \cdot \frac{4}{3} \frac{7}{15}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Cancel the common factor.

$\frac{17}{4} \cdot \frac{4}{3} \frac{7}{15}$

Step 3.2

Rewrite the expression.

$17 (\frac{1}{3}) \frac{7}{15}$

Step 4

Combine $17$ and $\frac{1}{3}$ .

$\frac{17}{3} \cdot \frac{7}{15}$

Step 5

Multiply $\frac{17}{3} \cdot \frac{7}{15}$ .

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Step 5.1

Multiply $\frac{17}{3}$ by $\frac{7}{15}$ .

$\frac{17 \cdot 7}{3 \cdot 15}$

Step 5.2

Multiply $17$ by $7$ .

$\frac{119}{3 \cdot 15}$

Step 5.3

Multiply $3$ by $15$ .

$\frac{119}{45}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{119}{45}$

Decimal Form:

$2.6\overline{4}$

Mixed Number Form:

$2 \frac{29}{45}$