Solve (-2)-2/frac{1{4}+4/3}

$$\frac { ( - 2 ) - 2 } { \frac { 1 } { 4 } + \frac { 4 } { 3 } }$$

Evaluate

$$-\frac{48}{19}\approx -2.526315789$$

Solution Steps

Subtract 2 from -2 to get -4.

$$\frac{-4}{\frac{1}{4}+\frac{4}{3}}$$

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{4}{3} to fractions with denominator 12.

$$\frac{-4}{\frac{3}{12}+\frac{16}{12}}$$

Since \frac{3}{12} and \frac{16}{12} have the same denominator, add them by adding their numerators.

$$\frac{-4}{\frac{3+16}{12}}$$

Add 3 and 16 to get 19.

$$\frac{-4}{\frac{19}{12}}$$

Divide -4 by \frac{19}{12} by multiplying -4 by the reciprocal of \frac{19}{12}.

$$-4\times \frac{12}{19}$$

Express -4\times \frac{12}{19} as a single fraction.

$$\frac{-4\times 12}{19}$$

Multiply -4 and 12 to get -48.

$$\frac{-48}{19}$$

Fraction \frac{-48}{19} can be rewritten as -\frac{48}{19} by extracting the negative sign.

$$-\frac{48}{19}$$

Factor

$$-\frac{48}{19} = -2\frac{10}{19} = -2.526315789473684$$