Solve 112-[121/(11*11)-(-4)-\ 3- overline 8-1 37

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Question

$$112-[121\div(11\times11)-(-4)-\{3-\overline{8-1}37$$

Evaluate

$\frac{1020080}{11211}\approx 90.989207029$

Solution Steps

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

$$112-\left(\frac{121}{11211}+4-\left(-8-8-1\right)\right)$$

Convert $4$ to fraction $\frac{44844}{11211}$.

$$112-\left(\frac{121}{11211}+\frac{44844}{11211}-\left(-8-8-1\right)\right)$$

Since $\frac{121}{11211}$ and $\frac{44844}{11211}$ have the same denominator, add them by adding their numerators.

$$112-\left(\frac{121+44844}{11211}-\left(-8-8-1\right)\right)$$

Add $121$ and $44844$ to get $44965$.

$$112-\left(\frac{44965}{11211}-\left(-8-8-1\right)\right)$$

Subtract $8$ from $-8$ to get $-16$.

$$112-\left(\frac{44965}{11211}-\left(-16-1\right)\right)$$

Subtract $1$ from $-16$ to get $-17$.

$$112-\left(\frac{44965}{11211}-\left(-17\right)\right)$$

The opposite of $-17$ is $17$.

$$112-\left(\frac{44965}{11211}+17\right)$$

Convert $17$ to fraction $\frac{190587}{11211}$.

$$112-\left(\frac{44965}{11211}+\frac{190587}{11211}\right)$$

Since $\frac{44965}{11211}$ and $\frac{190587}{11211}$ have the same denominator, add them by adding their numerators.

$$112-\frac{44965+190587}{11211}$$

Add $44965$ and $190587$ to get $235552$.

$$112-\frac{235552}{11211}$$

Convert $112$ to fraction $\frac{1255632}{11211}$.

$$\frac{1255632}{11211}-\frac{235552}{11211}$$

Since $\frac{1255632}{11211}$ and $\frac{235552}{11211}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{1255632-235552}{11211}$$

Subtract $235552$ from $1255632$ to get $1020080$.

$$\frac{1020080}{11211}$$

Show Solution

Factor

$\frac{2 ^ {4} \cdot 5 \cdot 41 \cdot 311}{3 \cdot 37 \cdot 101} = 90\frac{11090}{11211} = 90.989207028811$