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

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

Evaluate

$$-\frac{13}{21}\approx -0.619047619$$

Solution Steps

Convert -1 to fraction -\frac{4}{4}.

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

Since -\frac{4}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add -4 and 1 to get -3.

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

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

$$\frac{-\frac{9}{12}-\frac{4}{12}}{2-\frac{1}{4}}$$

Since -\frac{9}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-9-4}{12}}{2-\frac{1}{4}}$$

Subtract 4 from -9 to get -13.

$$\frac{-\frac{13}{12}}{2-\frac{1}{4}}$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{-\frac{13}{12}}{\frac{8}{4}-\frac{1}{4}}$$

Since \frac{8}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-\frac{13}{12}}{\frac{8-1}{4}}$$

Subtract 1 from 8 to get 7.

$$\frac{-\frac{13}{12}}{\frac{7}{4}}$$

Divide -\frac{13}{12} by \frac{7}{4} by multiplying -\frac{13}{12} by the reciprocal of \frac{7}{4}.

$$-\frac{13}{12}\times \frac{4}{7}$$

Multiply -\frac{13}{12} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-13\times 4}{12\times 7}$$

Do the multiplications in the fraction \frac{-13\times 4}{12\times 7}.

$$\frac{-52}{84}$$

Reduce the fraction \frac{-52}{84} to lowest terms by extracting and canceling out 4.

$$-\frac{13}{21}$$

Factor

$$-\frac{13}{21} = -0.6190476190476191$$