Solve 2/3/4-2/frac{3{4}}=?

$$\frac { \frac { 2 } { 3 } } { 4 } - \frac { 2 } { \frac { 3 } { 4 } } = ?$$

Evaluate

$$-\frac{5}{2}=-2.5$$

Solution Steps

Express \frac{\frac{2}{3}}{4} as a single fraction.

$$\frac{2}{3\times 4}-\frac{2}{\frac{3}{4}}$$

Multiply 3 and 4 to get 12.

$$\frac{2}{12}-\frac{2}{\frac{3}{4}}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1}{6}-\frac{2}{\frac{3}{4}}$$

Divide 2 by \frac{3}{4} by multiplying 2 by the reciprocal of \frac{3}{4}.

$$\frac{1}{6}-2\times \frac{4}{3}$$

Express 2\times \frac{4}{3} as a single fraction.

$$\frac{1}{6}-\frac{2\times 4}{3}$$

Multiply 2 and 4 to get 8.

$$\frac{1}{6}-\frac{8}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{1}{6} and \frac{8}{3} to fractions with denominator 6.

$$\frac{1}{6}-\frac{16}{6}$$

Since \frac{1}{6} and \frac{16}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-16}{6}$$

Subtract 16 from 1 to get -15.

$$\frac{-15}{6}$$

Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{2}$$

Factor

$$-\frac{5}{2} = -2\frac{1}{2} = -2.5$$