Solve 0.6827+(0.9545-0.6827)*1/2=

$$0.6827 + ( 0.9545 - 0.6827 ) \cdot \frac { 1 } { 2 } =$$

Evaluate

$$0.8186$$

Solution Steps

Subtract 0.6827 from 0.9545 to get 0.2718.

$$0.6827+0.2718\times \frac{1}{2}$$

Convert decimal number 0.2718 to fraction \frac{2718}{10000}. Reduce the fraction \frac{2718}{10000} to lowest terms by extracting and canceling out 2.

$$0.6827+\frac{1359}{5000}\times \frac{1}{2}$$

Multiply \frac{1359}{5000} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$0.6827+\frac{1359\times 1}{5000\times 2}$$

Do the multiplications in the fraction \frac{1359\times 1}{5000\times 2}.

$$0.6827+\frac{1359}{10000}$$

Convert decimal number 0.6827 to fraction \frac{6827}{10000}.

$$\frac{6827}{10000}+\frac{1359}{10000}$$

Since \frac{6827}{10000} and \frac{1359}{10000} have the same denominator, add them by adding their numerators.

$$\frac{6827+1359}{10000}$$

Add 6827 and 1359 to get 8186.

$$\frac{8186}{10000}$$

Reduce the fraction \frac{8186}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{4093}{5000}$$

Factor

$$\frac{4093}{2 ^ {3} \cdot 5 ^ {4}} = 0.8186$$