Solve 8/12*0.8+4/5+9/17*1

$$\frac { 8 } { 12 } \times 0.8 + \frac { 4 } { 5 } + \frac { 9 } { 17 } \times 1$$

Evaluate

$$\frac{95}{51}\approx 1.862745098$$

Solution Steps

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}\times 0.8+\frac{4}{5}+\frac{9}{17}\times 1$$

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.

$$\frac{2}{3}\times \frac{4}{5}+\frac{4}{5}+\frac{9}{17}\times 1$$

Multiply \frac{2}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{3\times 5}+\frac{4}{5}+\frac{9}{17}\times 1$$

Do the multiplications in the fraction \frac{2\times 4}{3\times 5}.

$$\frac{8}{15}+\frac{4}{5}+\frac{9}{17}\times 1$$

Least common multiple of 15 and 5 is 15. Convert \frac{8}{15} and \frac{4}{5} to fractions with denominator 15.

$$\frac{8}{15}+\frac{12}{15}+\frac{9}{17}\times 1$$

Since \frac{8}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.

$$\frac{8+12}{15}+\frac{9}{17}\times 1$$

Add 8 and 12 to get 20.

$$\frac{20}{15}+\frac{9}{17}\times 1$$

Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.

$$\frac{4}{3}+\frac{9}{17}\times 1$$

Multiply \frac{9}{17} and 1 to get \frac{9}{17}.

$$\frac{4}{3}+\frac{9}{17}$$

Least common multiple of 3 and 17 is 51. Convert \frac{4}{3} and \frac{9}{17} to fractions with denominator 51.

$$\frac{68}{51}+\frac{27}{51}$$

Since \frac{68}{51} and \frac{27}{51} have the same denominator, add them by adding their numerators.

$$\frac{68+27}{51}$$

Add 68 and 27 to get 95.

$$\frac{95}{51}$$

Factor

$$\frac{5 \cdot 19}{3 \cdot 17} = 1\frac{44}{51} = 1.8627450980392157$$