Solve 9/5+11/8*0.8

$$\frac{ 9 }{ 5 } + 1 \frac { 1 } { 8 } \times 0.8$$

Evaluate

$$2.7$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{9}{5}+\frac{8+1}{8}\times 0.8$$

Add 8 and 1 to get 9.

$$\frac{9}{5}+\frac{9}{8}\times 0.8$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}+\frac{9}{8}\times \frac{4}{5}$$

Multiply \frac{9}{8} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{5}+\frac{9\times 4}{8\times 5}$$

Do the multiplications in the fraction \frac{9\times 4}{8\times 5}.

$$\frac{9}{5}+\frac{36}{40}$$

Reduce the fraction \frac{36}{40} to lowest terms by extracting and canceling out 4.

$$\frac{9}{5}+\frac{9}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{9}{5} and \frac{9}{10} to fractions with denominator 10.

$$\frac{18}{10}+\frac{9}{10}$$

Since \frac{18}{10} and \frac{9}{10} have the same denominator, add them by adding their numerators.

$$\frac{18+9}{10}$$

Add 18 and 9 to get 27.

$$\frac{27}{10}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 5} = 2\frac{7}{10} = 2.7$$