Solve {l}{35/12-(-11/3)+}{-43/8}

$$\left. \begin{array} { l } { 3 \frac { 5 } { 12 } - ( - 1 \frac { 1 } { 3 } ) + } \\ { - 4 \frac { 3 } { 8 } } \end{array} \right.$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+5}{12}-\left(-\frac{1\times 3+1}{3}\right)-\frac{4\times 8+3}{8}$$

Add 36 and 5 to get 41.

$$\frac{41}{12}-\left(-\frac{1\times 3+1}{3}\right)-\frac{4\times 8+3}{8}$$

Multiply 1 and 3 to get 3.

$$\frac{41}{12}-\left(-\frac{3+1}{3}\right)-\frac{4\times 8+3}{8}$$

Add 3 and 1 to get 4.

$$\frac{41}{12}-\left(-\frac{4}{3}\right)-\frac{4\times 8+3}{8}$$

The opposite of -\frac{4}{3} is \frac{4}{3}.

$$\frac{41}{12}+\frac{4}{3}-\frac{4\times 8+3}{8}$$

Least common multiple of 12 and 3 is 12. Convert \frac{41}{12} and \frac{4}{3} to fractions with denominator 12.

$$\frac{41}{12}+\frac{16}{12}-\frac{4\times 8+3}{8}$$

Since \frac{41}{12} and \frac{16}{12} have the same denominator, add them by adding their numerators.

$$\frac{41+16}{12}-\frac{4\times 8+3}{8}$$

Add 41 and 16 to get 57.

$$\frac{57}{12}-\frac{4\times 8+3}{8}$$

Reduce the fraction \frac{57}{12} to lowest terms by extracting and canceling out 3.

$$\frac{19}{4}-\frac{4\times 8+3}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{19}{4}-\frac{32+3}{8}$$

Add 32 and 3 to get 35.

$$\frac{19}{4}-\frac{35}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{19}{4} and \frac{35}{8} to fractions with denominator 8.

$$\frac{38}{8}-\frac{35}{8}$$

Since \frac{38}{8} and \frac{35}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-35}{8}$$

Subtract 35 from 38 to get 3.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$