Solve 9/8-[-10/3]-4/5=

$$\frac { 9 } { 8 } - [ - \frac { 10 } { 3 } ] - \frac { 4 } { 5 } =$$

Evaluate

$$\frac{439}{120}\approx 3.658333333$$

Solution Steps

The opposite of -\frac{10}{3} is \frac{10}{3}.

$$\frac{9}{8}+\frac{10}{3}-\frac{4}{5}$$

Least common multiple of 8 and 3 is 24. Convert \frac{9}{8} and \frac{10}{3} to fractions with denominator 24.

$$\frac{27}{24}+\frac{80}{24}-\frac{4}{5}$$

Since \frac{27}{24} and \frac{80}{24} have the same denominator, add them by adding their numerators.

$$\frac{27+80}{24}-\frac{4}{5}$$

Add 27 and 80 to get 107.

$$\frac{107}{24}-\frac{4}{5}$$

Least common multiple of 24 and 5 is 120. Convert \frac{107}{24} and \frac{4}{5} to fractions with denominator 120.

$$\frac{535}{120}-\frac{96}{120}$$

Since \frac{535}{120} and \frac{96}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{535-96}{120}$$

Subtract 96 from 535 to get 439.

$$\frac{439}{120}$$

Factor

$$\frac{439}{2 ^ {3} \cdot 3 \cdot 5} = 3\frac{79}{120} = 3.658333333333333$$