Solve 41/3+5/6-3/5*3/2=

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

Evaluate

$$\frac{64}{15}\approx 4.266666667$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+1}{3}+\frac{5}{6}-\frac{3}{5}\times \frac{3}{2}$$

Add 12 and 1 to get 13.

$$\frac{13}{3}+\frac{5}{6}-\frac{3}{5}\times \frac{3}{2}$$

Least common multiple of 3 and 6 is 6. Convert \frac{13}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{26}{6}+\frac{5}{6}-\frac{3}{5}\times \frac{3}{2}$$

Since \frac{26}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{26+5}{6}-\frac{3}{5}\times \frac{3}{2}$$

Add 26 and 5 to get 31.

$$\frac{31}{6}-\frac{3}{5}\times \frac{3}{2}$$

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

$$\frac{31}{6}-\frac{3\times 3}{5\times 2}$$

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

$$\frac{31}{6}-\frac{9}{10}$$

Least common multiple of 6 and 10 is 30. Convert \frac{31}{6} and \frac{9}{10} to fractions with denominator 30.

$$\frac{155}{30}-\frac{27}{30}$$

Since \frac{155}{30} and \frac{27}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{155-27}{30}$$

Subtract 27 from 155 to get 128.

$$\frac{128}{30}$$

Reduce the fraction \frac{128}{30} to lowest terms by extracting and canceling out 2.

$$\frac{64}{15}$$

Factor

$$\frac{2 ^ {6}}{3 \cdot 5} = 4\frac{4}{15} = 4.266666666666667$$