Solve 35/72-(-11/3)+(-43/8)=

$$3 \frac { 5 } { 72 } - ( - 1 \frac { 1 } { 3 } ) + ( - 4 \frac { 3 } { 8 } ) =$$

Evaluate

$$\frac{1}{36}\approx 0.027777778$$

Solution Steps

Multiply 3 and 72 to get 216.

$$\frac{216+5}{72}-\left(-\frac{1\times 3+1}{3}\right)-\frac{4\times 8+3}{8}$$

Add 216 and 5 to get 221.

$$\frac{221}{72}-\left(-\frac{1\times 3+1}{3}\right)-\frac{4\times 8+3}{8}$$

Multiply 1 and 3 to get 3.

$$\frac{221}{72}-\left(-\frac{3+1}{3}\right)-\frac{4\times 8+3}{8}$$

Add 3 and 1 to get 4.

$$\frac{221}{72}-\left(-\frac{4}{3}\right)-\frac{4\times 8+3}{8}$$

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

$$\frac{221}{72}+\frac{4}{3}-\frac{4\times 8+3}{8}$$

Least common multiple of 72 and 3 is 72. Convert \frac{221}{72} and \frac{4}{3} to fractions with denominator 72.

$$\frac{221}{72}+\frac{96}{72}-\frac{4\times 8+3}{8}$$

Since \frac{221}{72} and \frac{96}{72} have the same denominator, add them by adding their numerators.

$$\frac{221+96}{72}-\frac{4\times 8+3}{8}$$

Add 221 and 96 to get 317.

$$\frac{317}{72}-\frac{4\times 8+3}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{317}{72}-\frac{32+3}{8}$$

Add 32 and 3 to get 35.

$$\frac{317}{72}-\frac{35}{8}$$

Least common multiple of 72 and 8 is 72. Convert \frac{317}{72} and \frac{35}{8} to fractions with denominator 72.

$$\frac{317}{72}-\frac{315}{72}$$

Since \frac{317}{72} and \frac{315}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{317-315}{72}$$

Subtract 315 from 317 to get 2.

$$\frac{2}{72}$$

Reduce the fraction \frac{2}{72} to lowest terms by extracting and canceling out 2.

$$\frac{1}{36}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2}} = 0.027777777777777776$$