Solve 4/5+5/6*3/5+1/2

$$\frac { 4 } { 5 } + \frac { 5 } { 6 } \times \frac { 3 } { 5 } + \frac { 1 } { 2 }$$

Evaluate

$$\frac{9}{5}=1.8$$

Solution Steps

Multiply \frac{5}{6} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{5}+\frac{5\times 3}{6\times 5}+\frac{1}{2}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{5}+\frac{3}{6}+\frac{1}{2}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}+\frac{1}{2}+\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{8}{10}+\frac{5}{10}+\frac{1}{2}$$

Since \frac{8}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{8+5}{10}+\frac{1}{2}$$

Add 8 and 5 to get 13.

$$\frac{13}{10}+\frac{1}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{13}{10} and \frac{1}{2} to fractions with denominator 10.

$$\frac{13}{10}+\frac{5}{10}$$

Since \frac{13}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{13+5}{10}$$

Add 13 and 5 to get 18.

$$\frac{18}{10}$$

Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}$$

Factor

$$\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8$$