Solve =[50-50/11]*16/5+6/5

$$= [ 50 - \frac { 50 } { 11 } ] \times \frac { 16 } { 5 } + \frac { 6 } { 5 }$$

Evaluate

$$\frac{8066}{55}\approx 146.654545455$$

Solution Steps

Convert 50 to fraction \frac{550}{11}.

$$\left(\frac{550}{11}-\frac{50}{11}\right)\times \frac{16}{5}+\frac{6}{5}$$

Since \frac{550}{11} and \frac{50}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{550-50}{11}\times \frac{16}{5}+\frac{6}{5}$$

Subtract 50 from 550 to get 500.

$$\frac{500}{11}\times \frac{16}{5}+\frac{6}{5}$$

Multiply \frac{500}{11} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{500\times 16}{11\times 5}+\frac{6}{5}$$

Do the multiplications in the fraction \frac{500\times 16}{11\times 5}.

$$\frac{8000}{55}+\frac{6}{5}$$

Reduce the fraction \frac{8000}{55} to lowest terms by extracting and canceling out 5.

$$\frac{1600}{11}+\frac{6}{5}$$

Least common multiple of 11 and 5 is 55. Convert \frac{1600}{11} and \frac{6}{5} to fractions with denominator 55.

$$\frac{8000}{55}+\frac{66}{55}$$

Since \frac{8000}{55} and \frac{66}{55} have the same denominator, add them by adding their numerators.

$$\frac{8000+66}{55}$$

Add 8000 and 66 to get 8066.

$$\frac{8066}{55}$$

Factor

$$\frac{2 \cdot 37 \cdot 109}{5 \cdot 11} = 146\frac{36}{55} = 146.65454545454546$$