Solve 7/2-1/6/-3+06

$$\frac{ 7 }{ 2 } - \frac{ \frac{ 1 }{ 6 } }{ -3+06 }$$

Evaluate

$$\frac{32}{9}\approx 3.555555556$$

Solution Steps

Multiply 0 and 6 to get 0.

$$\frac{7}{2}-\frac{\frac{1}{6}}{-3+0}$$

Add -3 and 0 to get -3.

$$\frac{7}{2}-\frac{\frac{1}{6}}{-3}$$

Express \frac{\frac{1}{6}}{-3} as a single fraction.

$$\frac{7}{2}-\frac{1}{6\left(-3\right)}$$

Multiply 6 and -3 to get -18.

$$\frac{7}{2}-\frac{1}{-18}$$

Fraction \frac{1}{-18} can be rewritten as -\frac{1}{18} by extracting the negative sign.

$$\frac{7}{2}-\left(-\frac{1}{18}\right)$$

The opposite of -\frac{1}{18} is \frac{1}{18}.

$$\frac{7}{2}+\frac{1}{18}$$

Least common multiple of 2 and 18 is 18. Convert \frac{7}{2} and \frac{1}{18} to fractions with denominator 18.

$$\frac{63}{18}+\frac{1}{18}$$

Since \frac{63}{18} and \frac{1}{18} have the same denominator, add them by adding their numerators.

$$\frac{63+1}{18}$$

Add 63 and 1 to get 64.

$$\frac{64}{18}$$

Reduce the fraction \frac{64}{18} to lowest terms by extracting and canceling out 2.

$$\frac{32}{9}$$

Factor

$$\frac{2 ^ {5}}{3 ^ {2}} = 3\frac{5}{9} = 3.5555555555555554$$