Solve 5/1-81/1*7/42]^2

$$\frac { 5 } { 1 } - \frac { 81 } { 1 } \times \frac { 7 } { 42 } ] ^ { 2 }$$

Evaluate

$$-\frac{17}{2}=-8.5$$

Solution Steps

Anything divided by one gives itself.

$$5-\frac{81}{1}\times \frac{7}{42}$$

Anything divided by one gives itself.

$$5-81\times \frac{7}{42}$$

Reduce the fraction \frac{7}{42} to lowest terms by extracting and canceling out 7.

$$5-81\times \frac{1}{6}$$

Multiply 81 and \frac{1}{6} to get \frac{81}{6}.

$$5-\frac{81}{6}$$

Reduce the fraction \frac{81}{6} to lowest terms by extracting and canceling out 3.

$$5-\frac{27}{2}$$

Convert 5 to fraction \frac{10}{2}.

$$\frac{10}{2}-\frac{27}{2}$$

Since \frac{10}{2} and \frac{27}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-27}{2}$$

Subtract 27 from 10 to get -17.

$$-\frac{17}{2}$$

Factor

$$-\frac{17}{2} = -8\frac{1}{2} = -8.5$$