Solve 1+1.5+1.5*1.5/2+1.5*1.5*1.5/6

$$1+1.5+ \frac{ 1.5 \times 1.5 }{ 2 } + \frac{ 1.5 \times 1.5 \times 1.5 }{ 6 }$$

Evaluate

$$4.1875$$

Solution Steps

Add 1 and 1.5 to get 2.5.

$$2.5+\frac{1.5\times 1.5}{2}+\frac{1.5\times 1.5\times 1.5}{6}$$

Multiply 1.5 and 1.5 to get 2.25.

$$2.5+\frac{2.25}{2}+\frac{1.5\times 1.5\times 1.5}{6}$$

Expand \frac{2.25}{2} by multiplying both numerator and the denominator by 100.

$$2.5+\frac{225}{200}+\frac{1.5\times 1.5\times 1.5}{6}$$

Reduce the fraction \frac{225}{200} to lowest terms by extracting and canceling out 25.

$$2.5+\frac{9}{8}+\frac{1.5\times 1.5\times 1.5}{6}$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{2}+\frac{9}{8}+\frac{1.5\times 1.5\times 1.5}{6}$$

Least common multiple of 2 and 8 is 8. Convert \frac{5}{2} and \frac{9}{8} to fractions with denominator 8.

$$\frac{20}{8}+\frac{9}{8}+\frac{1.5\times 1.5\times 1.5}{6}$$

Since \frac{20}{8} and \frac{9}{8} have the same denominator, add them by adding their numerators.

$$\frac{20+9}{8}+\frac{1.5\times 1.5\times 1.5}{6}$$

Add 20 and 9 to get 29.

$$\frac{29}{8}+\frac{1.5\times 1.5\times 1.5}{6}$$

Multiply 1.5 and 1.5 to get 2.25.

$$\frac{29}{8}+\frac{2.25\times 1.5}{6}$$

Multiply 2.25 and 1.5 to get 3.375.

$$\frac{29}{8}+\frac{3.375}{6}$$

Expand \frac{3.375}{6} by multiplying both numerator and the denominator by 1000.

$$\frac{29}{8}+\frac{3375}{6000}$$

Reduce the fraction \frac{3375}{6000} to lowest terms by extracting and canceling out 375.

$$\frac{29}{8}+\frac{9}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{29}{8} and \frac{9}{16} to fractions with denominator 16.

$$\frac{58}{16}+\frac{9}{16}$$

Since \frac{58}{16} and \frac{9}{16} have the same denominator, add them by adding their numerators.

$$\frac{58+9}{16}$$

Add 58 and 9 to get 67.

$$\frac{67}{16}$$

Factor

$$\frac{67}{2 ^ {4}} = 4\frac{3}{16} = 4.1875$$