Solve 2/3-5/6*3/10+3/2

$$\frac { 2 } { 3 } - \frac { 5 } { 6 } \times \frac { 3 } { 10 } + \frac { 3 } { 2 }$$

Evaluate

$$\frac{23}{12}\approx 1.916666667$$

Solution Steps

Multiply \frac{5}{6} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{3}-\frac{5\times 3}{6\times 10}+\frac{3}{2}$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 10}.

$$\frac{2}{3}-\frac{15}{60}+\frac{3}{2}$$

Reduce the fraction \frac{15}{60} to lowest terms by extracting and canceling out 15.

$$\frac{2}{3}-\frac{1}{4}+\frac{3}{2}$$

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{8}{12}-\frac{3}{12}+\frac{3}{2}$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{12}+\frac{3}{2}$$

Subtract 3 from 8 to get 5.

$$\frac{5}{12}+\frac{3}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{5}{12} and \frac{3}{2} to fractions with denominator 12.

$$\frac{5}{12}+\frac{18}{12}$$

Since \frac{5}{12} and \frac{18}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+18}{12}$$

Add 5 and 18 to get 23.

$$\frac{23}{12}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 3} = 1\frac{11}{12} = 1.9166666666666667$$