Solve 1/11:4/1-4/6=

$$\frac { 1 } { 11 } : \frac { 4 } { 1 } - \frac { 4 } { 6 } =$$

Evaluate

$$-\frac{85}{132}\approx -0.643939394$$

Solution Steps

Divide \frac{1}{11} by \frac{4}{1} by multiplying \frac{1}{11} by the reciprocal of \frac{4}{1}.

$$\frac{1}{11\times 4}-\frac{4}{6}$$

Multiply 11 and 4 to get 44.

$$\frac{1}{44}-\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{44}-\frac{2}{3}$$

Least common multiple of 44 and 3 is 132. Convert \frac{1}{44} and \frac{2}{3} to fractions with denominator 132.

$$\frac{3}{132}-\frac{88}{132}$$

Since \frac{3}{132} and \frac{88}{132} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-88}{132}$$

Subtract 88 from 3 to get -85.

$$-\frac{85}{132}$$

Factor

$$-\frac{85}{132} = -0.6439393939393939$$