Solve 2/9-5/6div4/3

$$\frac{ 2 }{ 9 } - \frac{ 5 }{ 6 } \div \frac { 4 } { 3 }$$

Evaluate

$$-\frac{29}{72}\approx -0.402777778$$

Solution Steps

Divide \frac{5}{6} by \frac{4}{3} by multiplying \frac{5}{6} by the reciprocal of \frac{4}{3}.

$$\frac{2}{9}-\frac{5}{6}\times \frac{3}{4}$$

Multiply \frac{5}{6} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{9}-\frac{5\times 3}{6\times 4}$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 4}.

$$\frac{2}{9}-\frac{15}{24}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{2}{9}-\frac{5}{8}$$

Least common multiple of 9 and 8 is 72. Convert \frac{2}{9} and \frac{5}{8} to fractions with denominator 72.

$$\frac{16}{72}-\frac{45}{72}$$

Since \frac{16}{72} and \frac{45}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-45}{72}$$

Subtract 45 from 16 to get -29.

$$-\frac{29}{72}$$

Factor

$$-\frac{29}{72} = -0.4027777777777778$$