Solve 86*5%+90*30%+96*35%+92*30%

$$86 \times 5 \% +90 \times 30 \% +96 \times 35 \% +92 \times 30 \%$$

Evaluate

$$\frac{185}{2}=92.5$$

Solution Steps

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

$$86\times \frac{1}{20}+90\times \frac{30}{100}+96\times \frac{35}{100}+92\times \frac{30}{100}$$

Multiply 86 and \frac{1}{20} to get \frac{86}{20}.

$$\frac{86}{20}+90\times \frac{30}{100}+96\times \frac{35}{100}+92\times \frac{30}{100}$$

Reduce the fraction \frac{86}{20} to lowest terms by extracting and canceling out 2.

$$\frac{43}{10}+90\times \frac{30}{100}+96\times \frac{35}{100}+92\times \frac{30}{100}$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{43}{10}+90\times \frac{3}{10}+96\times \frac{35}{100}+92\times \frac{30}{100}$$

Express 90\times \frac{3}{10} as a single fraction.

$$\frac{43}{10}+\frac{90\times 3}{10}+96\times \frac{35}{100}+92\times \frac{30}{100}$$

Multiply 90 and 3 to get 270.

$$\frac{43}{10}+\frac{270}{10}+96\times \frac{35}{100}+92\times \frac{30}{100}$$

Since \frac{43}{10} and \frac{270}{10} have the same denominator, add them by adding their numerators.

$$\frac{43+270}{10}+96\times \frac{35}{100}+92\times \frac{30}{100}$$

Add 43 and 270 to get 313.

$$\frac{313}{10}+96\times \frac{35}{100}+92\times \frac{30}{100}$$

Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$\frac{313}{10}+96\times \frac{7}{20}+92\times \frac{30}{100}$$

Express 96\times \frac{7}{20} as a single fraction.

$$\frac{313}{10}+\frac{96\times 7}{20}+92\times \frac{30}{100}$$

Multiply 96 and 7 to get 672.

$$\frac{313}{10}+\frac{672}{20}+92\times \frac{30}{100}$$

Reduce the fraction \frac{672}{20} to lowest terms by extracting and canceling out 4.

$$\frac{313}{10}+\frac{168}{5}+92\times \frac{30}{100}$$

Least common multiple of 10 and 5 is 10. Convert \frac{313}{10} and \frac{168}{5} to fractions with denominator 10.

$$\frac{313}{10}+\frac{336}{10}+92\times \frac{30}{100}$$

Since \frac{313}{10} and \frac{336}{10} have the same denominator, add them by adding their numerators.

$$\frac{313+336}{10}+92\times \frac{30}{100}$$

Add 313 and 336 to get 649.

$$\frac{649}{10}+92\times \frac{30}{100}$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{649}{10}+92\times \frac{3}{10}$$

Express 92\times \frac{3}{10} as a single fraction.

$$\frac{649}{10}+\frac{92\times 3}{10}$$

Multiply 92 and 3 to get 276.

$$\frac{649}{10}+\frac{276}{10}$$

Since \frac{649}{10} and \frac{276}{10} have the same denominator, add them by adding their numerators.

$$\frac{649+276}{10}$$

Add 649 and 276 to get 925.

$$\frac{925}{10}$$

Reduce the fraction \frac{925}{10} to lowest terms by extracting and canceling out 5.

$$\frac{185}{2}$$

Factor

$$\frac{5 \cdot 37}{2} = 92\frac{1}{2} = 92.5$$