Solve -3/16div(3/4+5/6)

$$- \frac { 3 } { 16 } \div ( \frac { 3 } { 4 } + \frac { 5 } { 6 } )$$

Evaluate

$$-\frac{9}{76}\approx -0.118421053$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{-\frac{3}{16}}{\frac{9}{12}+\frac{10}{12}}$$

Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{-\frac{3}{16}}{\frac{9+10}{12}}$$

Add 9 and 10 to get 19.

$$\frac{-\frac{3}{16}}{\frac{19}{12}}$$

Divide -\frac{3}{16} by \frac{19}{12} by multiplying -\frac{3}{16} by the reciprocal of \frac{19}{12}.

$$-\frac{3}{16}\times \frac{12}{19}$$

Multiply -\frac{3}{16} times \frac{12}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 12}{16\times 19}$$

Do the multiplications in the fraction \frac{-3\times 12}{16\times 19}.

$$\frac{-36}{304}$$

Reduce the fraction \frac{-36}{304} to lowest terms by extracting and canceling out 4.

$$-\frac{9}{76}$$

Factor

$$-\frac{9}{76} = -0.11842105263157894$$