Solve 7/3+(-3/8)

$$\frac { 7 } { 3 } + ( - \frac { 3 } { 8 } )$$

Evaluate

$$\frac{47}{24}\approx 1.958333333$$

Solution Steps

Least common multiple of 3 and 8 is 24. Convert \frac{7}{3} and \frac{3}{8} to fractions with denominator 24.

$$\frac{56}{24}-\frac{9}{24}$$

Since \frac{56}{24} and \frac{9}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-9}{24}$$

Subtract 9 from 56 to get 47.

$$\frac{47}{24}$$

Factor

$$\frac{47}{2 ^ {3} \cdot 3} = 1\frac{23}{24} = 1.9583333333333333$$