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

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

Evaluate

$$0.953125$$

Solution Steps

Express \frac{\frac{\frac{1.875+2}{2}+1.875}{2}}{2} as a single fraction.

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

Add 1.875 and 2 to get 3.875.

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

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

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

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

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

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.

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

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

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

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

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

Add 31 and 30 to get 61.

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

Multiply 2 and 2 to get 4.

$$\frac{\frac{61}{16}}{4}$$

Express \frac{\frac{61}{16}}{4} as a single fraction.

$$\frac{61}{16\times 4}$$

Multiply 16 and 4 to get 64.

$$\frac{61}{64}$$

Factor

$$\frac{61}{2 ^ {6}} = 0.953125$$