Solve 5/6+8/3*1/5-3/4

$$\frac { 5 } { 6 } + \frac { 8 } { 3 } \cdot \frac { 1 } { 5 } - \frac { 3 } { 4 }$$

Evaluate

$$\frac{37}{60}\approx 0.616666667$$

Solution Steps

Multiply \frac{8}{3} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{6}+\frac{8\times 1}{3\times 5}-\frac{3}{4}$$

Do the multiplications in the fraction \frac{8\times 1}{3\times 5}.

$$\frac{5}{6}+\frac{8}{15}-\frac{3}{4}$$

Least common multiple of 6 and 15 is 30. Convert \frac{5}{6} and \frac{8}{15} to fractions with denominator 30.

$$\frac{25}{30}+\frac{16}{30}-\frac{3}{4}$$

Since \frac{25}{30} and \frac{16}{30} have the same denominator, add them by adding their numerators.

$$\frac{25+16}{30}-\frac{3}{4}$$

Add 25 and 16 to get 41.

$$\frac{41}{30}-\frac{3}{4}$$

Least common multiple of 30 and 4 is 60. Convert \frac{41}{30} and \frac{3}{4} to fractions with denominator 60.

$$\frac{82}{60}-\frac{45}{60}$$

Since \frac{82}{60} and \frac{45}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{82-45}{60}$$

Subtract 45 from 82 to get 37.

$$\frac{37}{60}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 3 \cdot 5} = 0.6166666666666667$$