Solve 1/2(23/236+3/32)=

$$\frac { 1 } { 2 } ( \frac { 23 } { 236 } + \frac { 3 } { 32 } ) =$$

Evaluate

$$\frac{361}{3776}\approx 0.095603814$$

Solution Steps

Least common multiple of 236 and 32 is 1888. Convert \frac{23}{236} and \frac{3}{32} to fractions with denominator 1888.

$$\frac{1}{2}\left(\frac{184}{1888}+\frac{177}{1888}\right)$$

Since \frac{184}{1888} and \frac{177}{1888} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}\times \frac{184+177}{1888}$$

Add 184 and 177 to get 361.

$$\frac{1}{2}\times \frac{361}{1888}$$

Multiply \frac{1}{2} times \frac{361}{1888} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 361}{2\times 1888}$$

Do the multiplications in the fraction \frac{1\times 361}{2\times 1888}.

$$\frac{361}{3776}$$

Factor

$$\frac{19 ^ {2}}{2 ^ {6} \cdot 59} = 0.09560381355932203$$