Solve 1+0.05/2.05

$$1+ \frac{ 0.05 }{ 2.05 }$$

Evaluate

$$\frac{42}{41}\approx 1.024390244$$

Solution Steps

Expand \frac{0.05}{2.05} by multiplying both numerator and the denominator by 100.

$$1+\frac{5}{205}$$

Reduce the fraction \frac{5}{205} to lowest terms by extracting and canceling out 5.

$$1+\frac{1}{41}$$

Convert 1 to fraction \frac{41}{41}.

$$\frac{41}{41}+\frac{1}{41}$$

Since \frac{41}{41} and \frac{1}{41} have the same denominator, add them by adding their numerators.

$$\frac{41+1}{41}$$

Add 41 and 1 to get 42.

$$\frac{42}{41}$$

Factor

$$\frac{2 \cdot 3 \cdot 7}{41} = 1\frac{1}{41} = 1.024390243902439$$