Basic Math Examples

$\frac{\frac{5}{6}}{\frac{3}{\frac{5}{\frac{4}{9}}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{6} \cdot \frac{\frac{5}{\frac{4}{9}}}{3}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{6} (\frac{5}{\frac{4}{9}} \cdot \frac{1}{3})$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{6} (5 (\frac{9}{4}) \frac{1}{3})$

Step 4

Multiply $5 (\frac{9}{4})$ .

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Step 4.1

Combine $5$ and $\frac{9}{4}$ .

$\frac{5}{6} (\frac{5 \cdot 9}{4} \cdot \frac{1}{3})$

Step 4.2

Multiply $5$ by $9$ .

$\frac{5}{6} (\frac{45}{4} \cdot \frac{1}{3})$

Step 5

Cancel the common factor of $3$ .

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Step 5.1

Factor $3$ out of $45$ .

$\frac{5}{6} (\frac{3 (15)}{4} \cdot \frac{1}{3})$

Step 5.2

Cancel the common factor.

$\frac{5}{6} (\frac{3 \cdot 15}{4} \cdot \frac{1}{3})$

Step 5.3

Rewrite the expression.

$\frac{5}{6} \cdot \frac{15}{4}$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Factor $3$ out of $6$ .

$\frac{5}{3 (2)} \cdot \frac{15}{4}$

Step 6.2

Factor $3$ out of $15$ .

$\frac{5}{3 \cdot 2} \cdot \frac{3 \cdot 5}{4}$

Step 6.3

Cancel the common factor.

$\frac{5}{3 \cdot 2} \cdot \frac{3 \cdot 5}{4}$

Step 6.4

Rewrite the expression.

$\frac{5}{2} \cdot \frac{5}{4}$

Step 7

Multiply $\frac{5}{2}$ by $\frac{5}{4}$ .

$\frac{5 \cdot 5}{2 \cdot 4}$

Step 8

Multiply.

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Step 8.1

Multiply $5$ by $5$ .

$\frac{25}{2 \cdot 4}$

Step 8.2

Multiply $2$ by $4$ .

$\frac{25}{8}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{8}$

Decimal Form:

$3.125$

Mixed Number Form:

$3 \frac{1}{8}$