Pre-Algebra Examples

$\frac{8}{15} \cdot \frac{35}{24}$

Step 1

Cancel the common factor of $8$ .

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Step 1.1

Factor $8$ out of $24$ .

$\frac{8}{15} \cdot \frac{35}{8 (3)}$

Step 1.2

Cancel the common factor.

$\frac{8}{15} \cdot \frac{35}{8 \cdot 3}$

Step 1.3

Rewrite the expression.

$\frac{1}{15} \cdot \frac{35}{3}$

$\frac{1}{15} \cdot \frac{35}{3}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $15$ .

$\frac{1}{5 (3)} \cdot \frac{35}{3}$

Step 2.2

Factor $5$ out of $35$ .

$\frac{1}{5 \cdot 3} \cdot \frac{5 \cdot 7}{3}$

Step 2.3

Cancel the common factor.

$\frac{1}{5 \cdot 3} \cdot \frac{5 \cdot 7}{3}$

Step 2.4

Rewrite the expression.

$\frac{1}{3} \cdot \frac{7}{3}$

$\frac{1}{3} \cdot \frac{7}{3}$

Step 3

Multiply $\frac{1}{3}$ by $\frac{7}{3}$ .

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

Step 4

Multiply $3$ by $3$ .

$\frac{7}{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{9}$

Decimal Form:

$0.\overline{7}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$