Solve 12/5*(5/6+3/4)+80%

$$\frac { 12 } { 5 } \times ( \frac { 5 } { 6 } + \frac { 3 } { 4 } ) + 80 \%$$

Evaluate

$$\frac{23}{5}=4.6$$

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{12}{5}\left(\frac{10}{12}+\frac{9}{12}\right)+\frac{80}{100}$$

Since \frac{10}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{12}{5}\times \frac{10+9}{12}+\frac{80}{100}$$

Add 10 and 9 to get 19.

$$\frac{12}{5}\times \frac{19}{12}+\frac{80}{100}$$

Multiply \frac{12}{5} times \frac{19}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 19}{5\times 12}+\frac{80}{100}$$

Cancel out 12 in both numerator and denominator.

$$\frac{19}{5}+\frac{80}{100}$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{19}{5}+\frac{4}{5}$$

Since \frac{19}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{19+4}{5}$$

Add 19 and 4 to get 23.

$$\frac{23}{5}$$

Factor

$$\frac{23}{5} = 4\frac{3}{5} = 4.6$$