Solve 5/2*11div7-1+1/11div7-2

$$\frac{ 5 }{ 2 \times 11 \div 7-1 } + \frac{ 1 }{ 11 \div 7-2 }$$

Evaluate

$$0$$

Solution Steps

Multiply 2 and 11 to get 22.

$$\frac{5}{\frac{22}{7}-1}+\frac{1}{\frac{11}{7}-2}$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{5}{\frac{22}{7}-\frac{7}{7}}+\frac{1}{\frac{11}{7}-2}$$

Since \frac{22}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{\frac{22-7}{7}}+\frac{1}{\frac{11}{7}-2}$$

Subtract 7 from 22 to get 15.

$$\frac{5}{\frac{15}{7}}+\frac{1}{\frac{11}{7}-2}$$

Divide 5 by \frac{15}{7} by multiplying 5 by the reciprocal of \frac{15}{7}.

$$5\times \frac{7}{15}+\frac{1}{\frac{11}{7}-2}$$

Express 5\times \frac{7}{15} as a single fraction.

$$\frac{5\times 7}{15}+\frac{1}{\frac{11}{7}-2}$$

Multiply 5 and 7 to get 35.

$$\frac{35}{15}+\frac{1}{\frac{11}{7}-2}$$

Reduce the fraction \frac{35}{15} to lowest terms by extracting and canceling out 5.

$$\frac{7}{3}+\frac{1}{\frac{11}{7}-2}$$

Convert 2 to fraction \frac{14}{7}.

$$\frac{7}{3}+\frac{1}{\frac{11}{7}-\frac{14}{7}}$$

Since \frac{11}{7} and \frac{14}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{3}+\frac{1}{\frac{11-14}{7}}$$

Subtract 14 from 11 to get -3.

$$\frac{7}{3}+\frac{1}{-\frac{3}{7}}$$

Divide 1 by -\frac{3}{7} by multiplying 1 by the reciprocal of -\frac{3}{7}.

$$\frac{7}{3}+1\left(-\frac{7}{3}\right)$$

Multiply 1 and -\frac{7}{3} to get -\frac{7}{3}.

$$\frac{7}{3}-\frac{7}{3}$$

Subtract \frac{7}{3} from \frac{7}{3} to get 0.

$$0$$

Factor

$$0$$