Solve -11/4div61/2

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

Evaluate

$$-\frac{5}{26}\approx -0.192307692$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{-\frac{5}{4}}{\frac{6\times 2+1}{2}}$$

Multiply 6 and 2 to get 12.

$$\frac{-\frac{5}{4}}{\frac{12+1}{2}}$$

Add 12 and 1 to get 13.

$$\frac{-\frac{5}{4}}{\frac{13}{2}}$$

Divide -\frac{5}{4} by \frac{13}{2} by multiplying -\frac{5}{4} by the reciprocal of \frac{13}{2}.

$$-\frac{5}{4}\times \frac{2}{13}$$

Multiply -\frac{5}{4} times \frac{2}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 2}{4\times 13}$$

Do the multiplications in the fraction \frac{-5\times 2}{4\times 13}.

$$\frac{-10}{52}$$

Reduce the fraction \frac{-10}{52} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{26}$$

Factor

$$-\frac{5}{26} = -0.19230769230769232$$