Basic Math Examples

$(2 \div (1 + 1 \div 12)) \cdot (3 (3 \div 56 o f^{32} \div 114))$

Step 1

Simplify the denominator.

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Step 1.1

Write $1$ as a fraction with a common denominator.

$2 \div (\frac{12}{12} + 1 \div 12) \cdot (3 (3 \div 56 o f^{32} \div 114))$

Step 1.2

Combine the numerators over the common denominator.

$2 \div \frac{12 + 1}{12} \cdot (3 (3 \div 56 o f^{32} \div 114))$

Step 1.3

Add $12$ and $1$ .

$2 \div \frac{13}{12} \cdot (3 (3 \div 56 o f^{32} \div 114))$

Step 2

To divide by a fraction, multiply by its reciprocal.

$2 (\frac{12}{13}) \cdot (3 (3 \div 56 o f^{32} \div 114))$

Step 3

Multiply $2 (\frac{12}{13})$ .

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Step 3.1

Combine $2$ and $\frac{12}{13}$ .

$\frac{2 \cdot 12}{13} \cdot (3 (3 \div 56 o f^{32} \div 114))$

Step 3.2

Multiply $2$ by $12$ .

$\frac{24}{13} \cdot (3 (3 \div 56 o f^{32} \div 114))$

Step 4

Rewrite the division as a fraction.

$\frac{24}{13} \cdot (3 \frac{3}{56 o f^{32}} \div 114)$

Step 5

Rewrite the division as a fraction.

$\frac{24}{13} \cdot (3 \frac{\frac{3}{56 o f^{32}}}{114})$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Factor $3$ out of $114$ .

$\frac{24}{13} \cdot (3 \frac{\frac{3}{56 o f^{32}}}{3 (38)})$

Step 6.2

Cancel the common factor.

$\frac{24}{13} \cdot (3 \frac{\frac{3}{56 o f^{32}}}{3 \cdot 38})$

Step 6.3

Rewrite the expression.

$\frac{24}{13} \cdot \frac{\frac{3}{56 o f^{32}}}{38}$

Step 7

Combine.

$\frac{24 \frac{3}{56 o f^{32}}}{13 \cdot 38}$

Step 8

Cancel the common factor of $24$ and $38$ .

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Step 8.1

Factor $2$ out of $24 \frac{3}{56 o f^{32}}$ .

$\frac{2 (12 \frac{3}{56 o f^{32}})}{13 \cdot 38}$

Step 8.2

Cancel the common factors.

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Step 8.2.1

Factor $2$ out of $13 \cdot 38$ .

$\frac{2 (12 \frac{3}{56 o f^{32}})}{2 (13 \cdot 19)}$

Step 8.2.2

Cancel the common factor.

$\frac{2 (12 \frac{3}{56 o f^{32}})}{2 (13 \cdot 19)}$

Step 8.2.3

Rewrite the expression.

$\frac{12 \frac{3}{56 o f^{32}}}{13 \cdot 19}$

Step 9

Combine $12$ and $\frac{3}{56 o f^{32}}$ .

$\frac{\frac{12 \cdot 3}{56 o f^{32}}}{13 \cdot 19}$

Step 10

Multiply.

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Step 10.1

Multiply $13$ by $19$ .

$\frac{\frac{12 \cdot 3}{56 o f^{32}}}{247}$

Step 10.2

Multiply $12$ by $3$ .

$\frac{\frac{36}{56 o f^{32}}}{247}$

Step 11

Reduce the expression $\frac{36}{56 o f^{32}}$ by cancelling the common factors.

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Step 11.1

Factor $4$ out of $36$ .

$\frac{\frac{4 (9)}{56 o f^{32}}}{247}$

Step 11.2

Factor $4$ out of $56 o f^{32}$ .

$\frac{\frac{4 (9)}{4 (14 o f^{32})}}{247}$

Step 11.3

Cancel the common factor.

$\frac{\frac{4 \cdot 9}{4 (14 o f^{32})}}{247}$

Step 11.4

Rewrite the expression.

$\frac{\frac{9}{14 o f^{32}}}{247}$

Step 12

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{14 o f^{32}} \cdot \frac{1}{247}$

Step 13

Combine.

$\frac{9 \cdot 1}{14 o f^{32} \cdot 247}$

Step 14

Multiply.

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Step 14.1

Multiply $9$ by $1$ .

$\frac{9}{14 o f^{32} \cdot 247}$

Step 14.2

Multiply $247$ by $14$ .

$\frac{9}{3458 o f^{32}}$