Solve 0.125/20.25+1

$$\frac{ 0.125 }{ 2 } 0.25+1$$

Evaluate

$$1.015625$$

Solution Steps

Expand \frac{0.125}{2} by multiplying both numerator and the denominator by 1000.

$$\frac{125}{2000}\times 0.25+1$$

Reduce the fraction \frac{125}{2000} to lowest terms by extracting and canceling out 125.

$$\frac{1}{16}\times 0.25+1$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{16}\times \frac{1}{4}+1$$

Multiply \frac{1}{16} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{16\times 4}+1$$

Do the multiplications in the fraction \frac{1\times 1}{16\times 4}.

$$\frac{1}{64}+1$$

Convert 1 to fraction \frac{64}{64}.

$$\frac{1}{64}+\frac{64}{64}$$

Since \frac{1}{64} and \frac{64}{64} have the same denominator, add them by adding their numerators.

$$\frac{1+64}{64}$$

Add 1 and 64 to get 65.

$$\frac{65}{64}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {6}} = 1\frac{1}{64} = 1.015625$$