Solve (((1.875+2)div2)+1.875)div2)+1.875)div2

$$(((1.875+2) \div 2)+1.875) \div 2)+1.875) \div 2$$

Evaluate

$$1.90625$$

Solution Steps

Add 1.875 and 2 to get 3.875.

$$\frac{\frac{3.875}{2}+1.875}{2}$$

Expand \frac{3.875}{2} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{3875}{2000}+1.875}{2}$$

Reduce the fraction \frac{3875}{2000} to lowest terms by extracting and canceling out 125.

$$\frac{\frac{31}{16}+1.875}{2}$$

Convert decimal number 1.875 to fraction \frac{1875}{1000}. Reduce the fraction \frac{1875}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{\frac{31}{16}+\frac{15}{8}}{2}$$

Least common multiple of 16 and 8 is 16. Convert \frac{31}{16} and \frac{15}{8} to fractions with denominator 16.

$$\frac{\frac{31}{16}+\frac{30}{16}}{2}$$

Since \frac{31}{16} and \frac{30}{16} have the same denominator, add them by adding their numerators.

$$\frac{\frac{31+30}{16}}{2}$$

Add 31 and 30 to get 61.

$$\frac{\frac{61}{16}}{2}$$

Express \frac{\frac{61}{16}}{2} as a single fraction.

$$\frac{61}{16\times 2}$$

Multiply 16 and 2 to get 32.

$$\frac{61}{32}$$

Factor

$$\frac{61}{2 ^ {5}} = 1\frac{29}{32} = 1.90625$$