Solve 1/2+1.5*(4-1.5)

$$\frac{ 1 }{ 2 } +1.5 \times (4-1.5)$$

Evaluate

$$4.25$$

Solution Steps

Subtract 1.5 from 4 to get 2.5.

$$\frac{1}{2}+1.5\times 2.5$$

Multiply 1.5 and 2.5 to get 3.75.

$$\frac{1}{2}+3.75$$

Convert decimal number 3.75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{2}+\frac{15}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{15}{4} to fractions with denominator 4.

$$\frac{2}{4}+\frac{15}{4}$$

Since \frac{2}{4} and \frac{15}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+15}{4}$$

Add 2 and 15 to get 17.

$$\frac{17}{4}$$

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$