Solve 0.9545div2+0.5=

$$0.9545 \div 2+0.5=$$

Evaluate

$$0.97725$$

Solution Steps

Expand \frac{0.9545}{2} by multiplying both numerator and the denominator by 10000.

$$\frac{9545}{20000}+0.5$$

Reduce the fraction \frac{9545}{20000} to lowest terms by extracting and canceling out 5.

$$\frac{1909}{4000}+0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1909}{4000}+\frac{1}{2}$$

Least common multiple of 4000 and 2 is 4000. Convert \frac{1909}{4000} and \frac{1}{2} to fractions with denominator 4000.

$$\frac{1909}{4000}+\frac{2000}{4000}$$

Since \frac{1909}{4000} and \frac{2000}{4000} have the same denominator, add them by adding their numerators.

$$\frac{1909+2000}{4000}$$

Add 1909 and 2000 to get 3909.

$$\frac{3909}{4000}$$

Factor

$$\frac{3 \cdot 1303}{2 ^ {5} \cdot 5 ^ {3}} = 0.97725$$