Solve left(43/8+12/7-25/14110/11right)-1frac{1}{3}

$$\left( 4 \frac{ 3 }{ 8 } +1 \frac{ 2 }{ 7 } -2 \frac{ 5 }{ 14 } 1 \frac{ 10 }{ 11 } \right) -1 \frac{ 1 }{ 3 }$$

Evaluate

$$-\frac{29}{168}\approx -0.172619048$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+3}{8}+\frac{1\times 7+2}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Add 32 and 3 to get 35.

$$\frac{35}{8}+\frac{1\times 7+2}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Multiply 1 and 7 to get 7.

$$\frac{35}{8}+\frac{7+2}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Add 7 and 2 to get 9.

$$\frac{35}{8}+\frac{9}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Least common multiple of 8 and 7 is 56. Convert \frac{35}{8} and \frac{9}{7} to fractions with denominator 56.

$$\frac{245}{56}+\frac{72}{56}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Since \frac{245}{56} and \frac{72}{56} have the same denominator, add them by adding their numerators.

$$\frac{245+72}{56}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Add 245 and 72 to get 317.

$$\frac{317}{56}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Multiply 2 and 14 to get 28.

$$\frac{317}{56}-\frac{28+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Add 28 and 5 to get 33.

$$\frac{317}{56}-\frac{33}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Multiply 1 and 11 to get 11.

$$\frac{317}{56}-\frac{33}{14}\times \frac{11+10}{11}-\frac{1\times 3+1}{3}$$

Add 11 and 10 to get 21.

$$\frac{317}{56}-\frac{33}{14}\times \frac{21}{11}-\frac{1\times 3+1}{3}$$

Multiply \frac{33}{14} times \frac{21}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{317}{56}-\frac{33\times 21}{14\times 11}-\frac{1\times 3+1}{3}$$

Do the multiplications in the fraction \frac{33\times 21}{14\times 11}.

$$\frac{317}{56}-\frac{693}{154}-\frac{1\times 3+1}{3}$$

Reduce the fraction \frac{693}{154} to lowest terms by extracting and canceling out 77.

$$\frac{317}{56}-\frac{9}{2}-\frac{1\times 3+1}{3}$$

Least common multiple of 56 and 2 is 56. Convert \frac{317}{56} and \frac{9}{2} to fractions with denominator 56.

$$\frac{317}{56}-\frac{252}{56}-\frac{1\times 3+1}{3}$$

Since \frac{317}{56} and \frac{252}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{317-252}{56}-\frac{1\times 3+1}{3}$$

Subtract 252 from 317 to get 65.

$$\frac{65}{56}-\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{65}{56}-\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{65}{56}-\frac{4}{3}$$

Least common multiple of 56 and 3 is 168. Convert \frac{65}{56} and \frac{4}{3} to fractions with denominator 168.

$$\frac{195}{168}-\frac{224}{168}$$

Since \frac{195}{168} and \frac{224}{168} have the same denominator, subtract them by subtracting their numerators.

$$\frac{195-224}{168}$$

Subtract 224 from 195 to get -29.

$$-\frac{29}{168}$$

Factor

$$-\frac{29}{168} = -0.17261904761904762$$