Solve 1.5*6.5-1.5*4.5div2

$$1.5 \times 6.5-1.5 \times 4.5 \div 2$$

Evaluate

$$6.375$$

Solution Steps

Multiply 1.5 and 6.5 to get 9.75.

$$9.75-\frac{1.5\times 4.5}{2}$$

Multiply 1.5 and 4.5 to get 6.75.

$$9.75-\frac{6.75}{2}$$

Expand \frac{6.75}{2} by multiplying both numerator and the denominator by 100.

$$9.75-\frac{675}{200}$$

Reduce the fraction \frac{675}{200} to lowest terms by extracting and canceling out 25.

$$9.75-\frac{27}{8}$$

Convert decimal number 9.75 to fraction \frac{975}{100}. Reduce the fraction \frac{975}{100} to lowest terms by extracting and canceling out 25.

$$\frac{39}{4}-\frac{27}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{39}{4} and \frac{27}{8} to fractions with denominator 8.

$$\frac{78}{8}-\frac{27}{8}$$

Since \frac{78}{8} and \frac{27}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{78-27}{8}$$

Subtract 27 from 78 to get 51.

$$\frac{51}{8}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {3}} = 6\frac{3}{8} = 6.375$$