Solve 16/22*27+16*19/20

$$\frac { 16 } { 22 } \times 27 + 16 \times \frac { 19 } { 20 }$$

Evaluate

$$\frac{1916}{55}\approx 34.836363636$$

Solution Steps

Reduce the fraction \frac{16}{22} to lowest terms by extracting and canceling out 2.

$$\frac{8}{11}\times 27+16\times \frac{19}{20}$$

Express \frac{8}{11}\times 27 as a single fraction.

$$\frac{8\times 27}{11}+16\times \frac{19}{20}$$

Multiply 8 and 27 to get 216.

$$\frac{216}{11}+16\times \frac{19}{20}$$

Express 16\times \frac{19}{20} as a single fraction.

$$\frac{216}{11}+\frac{16\times 19}{20}$$

Multiply 16 and 19 to get 304.

$$\frac{216}{11}+\frac{304}{20}$$

Reduce the fraction \frac{304}{20} to lowest terms by extracting and canceling out 4.

$$\frac{216}{11}+\frac{76}{5}$$

Least common multiple of 11 and 5 is 55. Convert \frac{216}{11} and \frac{76}{5} to fractions with denominator 55.

$$\frac{1080}{55}+\frac{836}{55}$$

Since \frac{1080}{55} and \frac{836}{55} have the same denominator, add them by adding their numerators.

$$\frac{1080+836}{55}$$

Add 1080 and 836 to get 1916.

$$\frac{1916}{55}$$

Factor

$$\frac{2 ^ {2} \cdot 479}{5 \cdot 11} = 34\frac{46}{55} = 34.836363636363636$$