Solve (1/4+1/11-1/8)div1/88

$$( \frac { 1 } { 4 } + \frac { 1 } { 11 } - \frac { 1 } { 8 } ) \div \frac { 1 } { 88 }$$

Evaluate

$$19$$

Solution Steps

Least common multiple of 4 and 11 is 44. Convert \frac{1}{4} and \frac{1}{11} to fractions with denominator 44.

$$\frac{\frac{11}{44}+\frac{4}{44}-\frac{1}{8}}{\frac{1}{88}}$$

Since \frac{11}{44} and \frac{4}{44} have the same denominator, add them by adding their numerators.

$$\frac{\frac{11+4}{44}-\frac{1}{8}}{\frac{1}{88}}$$

Add 11 and 4 to get 15.

$$\frac{\frac{15}{44}-\frac{1}{8}}{\frac{1}{88}}$$

Least common multiple of 44 and 8 is 88. Convert \frac{15}{44} and \frac{1}{8} to fractions with denominator 88.

$$\frac{\frac{30}{88}-\frac{11}{88}}{\frac{1}{88}}$$

Since \frac{30}{88} and \frac{11}{88} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{30-11}{88}}{\frac{1}{88}}$$

Subtract 11 from 30 to get 19.

$$\frac{\frac{19}{88}}{\frac{1}{88}}$$

Divide \frac{19}{88} by \frac{1}{88} by multiplying \frac{19}{88} by the reciprocal of \frac{1}{88}.

$$\frac{19}{88}\times 88$$

Cancel out 88 and 88.

$$19$$

Factor

$$19$$