Solve 5.5*(2/0.6+0.8)

$$5.5 \times ( \frac { 2 } { 0.6 } + 0.8 )$$

Evaluate

$$\frac{341}{15}\approx 22.733333333$$

Solution Steps

Expand \frac{2}{0.6} by multiplying both numerator and the denominator by 10.

$$5.5\left(\frac{20}{6}+0.8\right)$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$5.5\left(\frac{10}{3}+0.8\right)$$

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.

$$5.5\left(\frac{10}{3}+\frac{4}{5}\right)$$

Least common multiple of 3 and 5 is 15. Convert \frac{10}{3} and \frac{4}{5} to fractions with denominator 15.

$$5.5\left(\frac{50}{15}+\frac{12}{15}\right)$$

Since \frac{50}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.

$$5.5\times \frac{50+12}{15}$$

Add 50 and 12 to get 62.

$$5.5\times \frac{62}{15}$$

Convert decimal number 5.5 to fraction \frac{55}{10}. Reduce the fraction \frac{55}{10} to lowest terms by extracting and canceling out 5.

$$\frac{11}{2}\times \frac{62}{15}$$

Multiply \frac{11}{2} times \frac{62}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 62}{2\times 15}$$

Do the multiplications in the fraction \frac{11\times 62}{2\times 15}.

$$\frac{682}{30}$$

Reduce the fraction \frac{682}{30} to lowest terms by extracting and canceling out 2.

$$\frac{341}{15}$$

Factor

$$\frac{11 \cdot 31}{3 \cdot 5} = 22\frac{11}{15} = 22.733333333333334$$