Solve 1/2[35/108]-1/2

$$\frac { 1 } { 2 } [ \frac { 35 } { 108 } ] - \frac { 1 } { 2 }$$

Evaluate

$$-\frac{73}{216}\approx -0.337962963$$

Solution Steps

Multiply \frac{1}{2} times \frac{35}{108} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 35}{2\times 108}-\frac{1}{2}$$

Do the multiplications in the fraction \frac{1\times 35}{2\times 108}.

$$\frac{35}{216}-\frac{1}{2}$$

Least common multiple of 216 and 2 is 216. Convert \frac{35}{216} and \frac{1}{2} to fractions with denominator 216.

$$\frac{35}{216}-\frac{108}{216}$$

Since \frac{35}{216} and \frac{108}{216} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-108}{216}$$

Subtract 108 from 35 to get -73.

$$-\frac{73}{216}$$

Factor

$$-\frac{73}{216} = -0.33796296296296297$$