Solve 2^2div(1/3-5)*6

$$2 ^ { 2 } \div ( \frac { 1 } { 3 } - 5 ) \times 6$$

Evaluate

$$-\frac{36}{7}\approx -5.142857143$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{4}{\frac{1}{3}-5}\times 6$$

Convert 5 to fraction \frac{15}{3}.

$$\frac{4}{\frac{1}{3}-\frac{15}{3}}\times 6$$

Since \frac{1}{3} and \frac{15}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{\frac{1-15}{3}}\times 6$$

Subtract 15 from 1 to get -14.

$$\frac{4}{-\frac{14}{3}}\times 6$$

Divide 4 by -\frac{14}{3} by multiplying 4 by the reciprocal of -\frac{14}{3}.

$$4\left(-\frac{3}{14}\right)\times 6$$

Express 4\left(-\frac{3}{14}\right) as a single fraction.

$$\frac{4\left(-3\right)}{14}\times 6$$

Multiply 4 and -3 to get -12.

$$\frac{-12}{14}\times 6$$

Reduce the fraction \frac{-12}{14} to lowest terms by extracting and canceling out 2.

$$-\frac{6}{7}\times 6$$

Express -\frac{6}{7}\times 6 as a single fraction.

$$\frac{-6\times 6}{7}$$

Multiply -6 and 6 to get -36.

$$\frac{-36}{7}$$

Fraction \frac{-36}{7} can be rewritten as -\frac{36}{7} by extracting the negative sign.

$$-\frac{36}{7}$$

Factor

$$-\frac{36}{7} = -5\frac{1}{7} = -5.142857142857143$$