Basic Math Examples

$\frac{\frac{52}{56}}{\frac{54}{\frac{46}{645}}}$

Step 1

Cancel the common factor of $52$ and $56$ .

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Step 1.1

Factor $4$ out of $52$ .

$\frac{\frac{4 (13)}{56}}{\frac{54}{\frac{46}{645}}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $56$ .

$\frac{\frac{4 \cdot 13}{4 \cdot 14}}{\frac{54}{\frac{46}{645}}}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{4 \cdot 13}{4 \cdot 14}}{\frac{54}{\frac{46}{645}}}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{13}{14}}{\frac{54}{\frac{46}{645}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{13}{14} \cdot \frac{\frac{46}{645}}{54}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{13}{14} (\frac{46}{645} \cdot \frac{1}{54})$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $46$ .

$\frac{13}{14} (\frac{2 (23)}{645} \cdot \frac{1}{54})$

Step 4.2

Factor $2$ out of $54$ .

$\frac{13}{14} (\frac{2 \cdot 23}{645} \cdot \frac{1}{2 \cdot 27})$

Step 4.3

Cancel the common factor.

$\frac{13}{14} (\frac{2 \cdot 23}{645} \cdot \frac{1}{2 \cdot 27})$

Step 4.4

Rewrite the expression.

$\frac{13}{14} (\frac{23}{645} \cdot \frac{1}{27})$

Step 5

Multiply $\frac{23}{645}$ by $\frac{1}{27}$ .

$\frac{13}{14} \cdot \frac{23}{645 \cdot 27}$

Step 6

Multiply $645$ by $27$ .

$\frac{13}{14} \cdot \frac{23}{17415}$

Step 7

Multiply $\frac{13}{14} \cdot \frac{23}{17415}$ .

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Step 7.1

Multiply $\frac{13}{14}$ by $\frac{23}{17415}$ .

$\frac{13 \cdot 23}{14 \cdot 17415}$

Step 7.2

Multiply $13$ by $23$ .

$\frac{299}{14 \cdot 17415}$

Step 7.3

Multiply $14$ by $17415$ .

$\frac{299}{243810}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{299}{243810}$

Decimal Form:

$0.00122636 \dots$