Solve 1/3-9/8/2+1

$$\frac { \frac { 1 } { 3 } - \frac { 9 } { 8 } } { 2 } + 1$$

Evaluate

$$\frac{29}{48}\approx 0.604166667$$

Solution Steps

Least common multiple of 3 and 8 is 24. Convert \frac{1}{3} and \frac{9}{8} to fractions with denominator 24.

$$\frac{\frac{8}{24}-\frac{27}{24}}{2}+1$$

Since \frac{8}{24} and \frac{27}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{8-27}{24}}{2}+1$$

Subtract 27 from 8 to get -19.

$$\frac{-\frac{19}{24}}{2}+1$$

Express \frac{-\frac{19}{24}}{2} as a single fraction.

$$\frac{-19}{24\times 2}+1$$

Multiply 24 and 2 to get 48.

$$\frac{-19}{48}+1$$

Fraction \frac{-19}{48} can be rewritten as -\frac{19}{48} by extracting the negative sign.

$$-\frac{19}{48}+1$$

Convert 1 to fraction \frac{48}{48}.

$$-\frac{19}{48}+\frac{48}{48}$$

Since -\frac{19}{48} and \frac{48}{48} have the same denominator, add them by adding their numerators.

$$\frac{-19+48}{48}$$

Add -19 and 48 to get 29.

$$\frac{29}{48}$$

Factor

$$\frac{29}{2 ^ {4} \cdot 3} = 0.6041666666666666$$