Solve 26(12/5)+27(16/5)

$$26( \frac{ 12 }{ 5 } )+27( \frac{ 16 }{ 5 } )$$

Evaluate

$$\frac{744}{5}=148.8$$

Solution Steps

Express 26\times \frac{12}{5} as a single fraction.

$$\frac{26\times 12}{5}+27\times \frac{16}{5}$$

Multiply 26 and 12 to get 312.

$$\frac{312}{5}+27\times \frac{16}{5}$$

Express 27\times \frac{16}{5} as a single fraction.

$$\frac{312}{5}+\frac{27\times 16}{5}$$

Multiply 27 and 16 to get 432.

$$\frac{312}{5}+\frac{432}{5}$$

Since \frac{312}{5} and \frac{432}{5} have the same denominator, add them by adding their numerators.

$$\frac{312+432}{5}$$

Add 312 and 432 to get 744.

$$\frac{744}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 31}{5} = 148\frac{4}{5} = 148.8$$