Solve 5*2000+5/110*2^5

$$5 \times 2000 + \frac { 5 } { 110 } \times 2 ^ { 5 }$$

Evaluate

$$\frac{110016}{11}\approx 10001.454545455$$

Solution Steps

Multiply 5 and 2000 to get 10000.

$$10000+\frac{5}{110}\times 2^{5}$$

Reduce the fraction \frac{5}{110} to lowest terms by extracting and canceling out 5.

$$10000+\frac{1}{22}\times 2^{5}$$

Calculate 2 to the power of 5 and get 32.

$$10000+\frac{1}{22}\times 32$$

Multiply \frac{1}{22} and 32 to get \frac{32}{22}.

$$10000+\frac{32}{22}$$

Reduce the fraction \frac{32}{22} to lowest terms by extracting and canceling out 2.

$$10000+\frac{16}{11}$$

Convert 10000 to fraction \frac{110000}{11}.

$$\frac{110000}{11}+\frac{16}{11}$$

Since \frac{110000}{11} and \frac{16}{11} have the same denominator, add them by adding their numerators.

$$\frac{110000+16}{11}$$

Add 110000 and 16 to get 110016.

$$\frac{110016}{11}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2} \cdot 191}{11} = 10001\frac{5}{11} = 10001.454545454546$$