Solve (1/6-5/9)div(-0.7)=

$$( \frac { 1 } { 6 } - \frac { 5 } { 9 } ) \div ( - 0.7 ) =$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Least common multiple of 6 and 9 is 18. Convert \frac{1}{6} and \frac{5}{9} to fractions with denominator 18.

$$\frac{\frac{3}{18}-\frac{10}{18}}{-0.7}$$

Since \frac{3}{18} and \frac{10}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3-10}{18}}{-0.7}$$

Subtract 10 from 3 to get -7.

$$\frac{-\frac{7}{18}}{-0.7}$$

Express \frac{-\frac{7}{18}}{-0.7} as a single fraction.

$$\frac{-7}{18\left(-0.7\right)}$$

Multiply 18 and -0.7 to get -12.6.

$$\frac{-7}{-12.6}$$

Expand \frac{-7}{-12.6} by multiplying both numerator and the denominator by 10.

$$\frac{-70}{-126}$$

Reduce the fraction \frac{-70}{-126} to lowest terms by extracting and canceling out -14.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$