Solve 112-(121/(11*11)-(-4)-\ 3- overline 8-1 3]

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Question

$$112-(121\div(11\times11)-(-4)-\{3-\overline{8-1}3]$$

Evaluate

$\frac{10778}{121}\approx 89.074380165$

Solution Steps

Multiply $11$ and $11$ to get $121$.

$$112-\left(\frac{112}{121}-\left(-4\right)-\left(3-8-13\right)\right)$$

The opposite of $-4$ is $4$.

$$112-\left(\frac{112}{121}+4-\left(3-8-13\right)\right)$$

Convert $4$ to fraction $\frac{484}{121}$.

$$112-\left(\frac{112}{121}+\frac{484}{121}-\left(3-8-13\right)\right)$$

Since $\frac{112}{121}$ and $\frac{484}{121}$ have the same denominator, add them by adding their numerators.

$$112-\left(\frac{112+484}{121}-\left(3-8-13\right)\right)$$

Add $112$ and $484$ to get $596$.

$$112-\left(\frac{596}{121}-\left(3-8-13\right)\right)$$

Subtract $8$ from $3$ to get $-5$.

$$112-\left(\frac{596}{121}-\left(-5-13\right)\right)$$

Subtract $13$ from $-5$ to get $-18$.

$$112-\left(\frac{596}{121}-\left(-18\right)\right)$$

The opposite of $-18$ is $18$.

$$112-\left(\frac{596}{121}+18\right)$$

Convert $18$ to fraction $\frac{2178}{121}$.

$$112-\left(\frac{596}{121}+\frac{2178}{121}\right)$$

Since $\frac{596}{121}$ and $\frac{2178}{121}$ have the same denominator, add them by adding their numerators.

$$112-\frac{596+2178}{121}$$

Add $596$ and $2178$ to get $2774$.

$$112-\frac{2774}{121}$$

Convert $112$ to fraction $\frac{13552}{121}$.

$$\frac{13552}{121}-\frac{2774}{121}$$

Since $\frac{13552}{121}$ and $\frac{2774}{121}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{13552-2774}{121}$$

Subtract $2774$ from $13552$ to get $10778$.

$$\frac{10778}{121}$$

Show Solution

Factor

$\frac{2 \cdot 17 \cdot 317}{11 ^ {2}} = 89\frac{9}{121} = 89.07438016528926$