Solve 1/1+frac{2.5{0,8}}

$$\frac { 1 } { 1 + \frac { 2.5 } { 0,8 } }$$

Evaluate

$$\frac{8}{33}\approx 0.242424242$$

Solution Steps

Expand \frac{2.5}{0.8} by multiplying both numerator and the denominator by 10.

$$\frac{1}{1+\frac{25}{8}}$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{1}{\frac{8}{8}+\frac{25}{8}}$$

Since \frac{8}{8} and \frac{25}{8} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{8+25}{8}}$$

Add 8 and 25 to get 33.

$$\frac{1}{\frac{33}{8}}$$

Divide 1 by \frac{33}{8} by multiplying 1 by the reciprocal of \frac{33}{8}.

$$1\times \frac{8}{33}$$

Multiply 1 and \frac{8}{33} to get \frac{8}{33}.

$$\frac{8}{33}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 11} = 0.24242424242424243$$