Solve -11/2:21/4+1/4

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

Evaluate

$$-\frac{5}{12}\approx -0.416666667$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 2 and 4 to get 8.

$$\frac{-\frac{3}{2}}{\frac{8+1}{4}}+\frac{1}{4}$$

Add 8 and 1 to get 9.

$$\frac{-\frac{3}{2}}{\frac{9}{4}}+\frac{1}{4}$$

Divide -\frac{3}{2} by \frac{9}{4} by multiplying -\frac{3}{2} by the reciprocal of \frac{9}{4}.

$$-\frac{3}{2}\times \frac{4}{9}+\frac{1}{4}$$

Multiply -\frac{3}{2} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 4}{2\times 9}+\frac{1}{4}$$

Do the multiplications in the fraction \frac{-3\times 4}{2\times 9}.

$$\frac{-12}{18}+\frac{1}{4}$$

Reduce the fraction \frac{-12}{18} to lowest terms by extracting and canceling out 6.

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

Least common multiple of 3 and 4 is 12. Convert -\frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$-\frac{8}{12}+\frac{3}{12}$$

Since -\frac{8}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{-8+3}{12}$$

Add -8 and 3 to get -5.

$$-\frac{5}{12}$$

Factor

$$-\frac{5}{12} = -0.4166666666666667$$