Solve =2*65/100*(1.5+1.25)+(1.5*1.25)

$$= 2 \times \frac { 65 } { 100 } \times ( 1.5 + 1.25 ) + ( 1.5 \times 1.25 )$$

Evaluate

$$5.45$$

Solution Steps

Reduce the fraction \frac{65}{100} to lowest terms by extracting and canceling out 5.

$$2\times \frac{13}{20}\left(1.5+1.25\right)+1.5\times 1.25$$

Express 2\times \frac{13}{20} as a single fraction.

$$\frac{2\times 13}{20}\left(1.5+1.25\right)+1.5\times 1.25$$

Multiply 2 and 13 to get 26.

$$\frac{26}{20}\left(1.5+1.25\right)+1.5\times 1.25$$

Reduce the fraction \frac{26}{20} to lowest terms by extracting and canceling out 2.

$$\frac{13}{10}\left(1.5+1.25\right)+1.5\times 1.25$$

Add 1.5 and 1.25 to get 2.75.

$$\frac{13}{10}\times 2.75+1.5\times 1.25$$

Convert decimal number 2.75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$\frac{13}{10}\times \frac{11}{4}+1.5\times 1.25$$

Multiply \frac{13}{10} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 11}{10\times 4}+1.5\times 1.25$$

Do the multiplications in the fraction \frac{13\times 11}{10\times 4}.

$$\frac{143}{40}+1.5\times 1.25$$

Multiply 1.5 and 1.25 to get 1.875.

$$\frac{143}{40}+1.875$$

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.

$$\frac{143}{40}+\frac{15}{8}$$

Least common multiple of 40 and 8 is 40. Convert \frac{143}{40} and \frac{15}{8} to fractions with denominator 40.

$$\frac{143}{40}+\frac{75}{40}$$

Since \frac{143}{40} and \frac{75}{40} have the same denominator, add them by adding their numerators.

$$\frac{143+75}{40}$$

Add 143 and 75 to get 218.

$$\frac{218}{40}$$

Reduce the fraction \frac{218}{40} to lowest terms by extracting and canceling out 2.

$$\frac{109}{20}$$

Factor

$$\frac{109}{5 \cdot 2 ^ {2}} = 5\frac{9}{20} = 5.45$$