Basic Math Examples

$\frac{21}{\frac{35}{\frac{5}{24}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$21 \frac{\frac{5}{24}}{35}$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Factor $7$ out of $21$ .

$7 (3) \frac{\frac{5}{24}}{35}$

Step 2.2

Factor $7$ out of $35$ .

$7 \cdot 3 \frac{\frac{5}{24}}{7 \cdot 5}$

Step 2.3

Cancel the common factor.

$7 \cdot 3 \frac{\frac{5}{24}}{7 \cdot 5}$

Step 2.4

Rewrite the expression.

$3 \frac{\frac{5}{24}}{5}$

$3 \frac{\frac{5}{24}}{5}$

Step 3

Combine $3$ and $\frac{\frac{5}{24}}{5}$ .

$\frac{3 (\frac{5}{24})}{5}$

Step 4

Combine $3$ and $\frac{5}{24}$ .

$\frac{\frac{3 \cdot 5}{24}}{5}$

Step 5

Multiply $3$ by $5$ .

$\frac{\frac{15}{24}}{5}$

Step 6

Cancel the common factor of $15$ and $24$ .

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Step 6.1

Factor $3$ out of $15$ .

$\frac{\frac{3 (5)}{24}}{5}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $3$ out of $24$ .

$\frac{\frac{3 \cdot 5}{3 \cdot 8}}{5}$

Step 6.2.2

Cancel the common factor.

$\frac{\frac{3 \cdot 5}{3 \cdot 8}}{5}$

Step 6.2.3

Rewrite the expression.

$\frac{\frac{5}{8}}{5}$

$\frac{\frac{5}{8}}{5}$

$\frac{\frac{5}{8}}{5}$

Step 7

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{8} \cdot \frac{1}{5}$

Step 8

Cancel the common factor of $5$ .

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Step 8.1

Cancel the common factor.

$\frac{5}{8} \cdot \frac{1}{5}$

Step 8.2

Rewrite the expression.

$\frac{1}{8}$

$\frac{1}{8}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8}$

Decimal Form:

$0.125$

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