Solve 95*60/100+85*10/100+100*15/100+100*15/100

$$95 \times \frac{ 60 }{ 100 } +85 \times \frac{ 10 }{ 100 } +100 \times \frac{ 15 }{ 100 } +100 \times \frac{ 15 }{ 100 }$$

Evaluate

$$\frac{191}{2}=95.5$$

Solution Steps

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$95\times \frac{3}{5}+85\times \frac{10}{100}+100\times \frac{15}{100}+100\times \frac{15}{100}$$

Express 95\times \frac{3}{5} as a single fraction.

$$\frac{95\times 3}{5}+85\times \frac{10}{100}+100\times \frac{15}{100}+100\times \frac{15}{100}$$

Multiply 95 and 3 to get 285.

$$\frac{285}{5}+85\times \frac{10}{100}+100\times \frac{15}{100}+100\times \frac{15}{100}$$

Divide 285 by 5 to get 57.

$$57+85\times \frac{10}{100}+100\times \frac{15}{100}+100\times \frac{15}{100}$$

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

$$57+85\times \frac{1}{10}+100\times \frac{15}{100}+100\times \frac{15}{100}$$

Multiply 85 and \frac{1}{10} to get \frac{85}{10}.

$$57+\frac{85}{10}+100\times \frac{15}{100}+100\times \frac{15}{100}$$

Reduce the fraction \frac{85}{10} to lowest terms by extracting and canceling out 5.

$$57+\frac{17}{2}+100\times \frac{15}{100}+100\times \frac{15}{100}$$

Convert 57 to fraction \frac{114}{2}.

$$\frac{114}{2}+\frac{17}{2}+100\times \frac{15}{100}+100\times \frac{15}{100}$$

Since \frac{114}{2} and \frac{17}{2} have the same denominator, add them by adding their numerators.

$$\frac{114+17}{2}+100\times \frac{15}{100}+100\times \frac{15}{100}$$

Add 114 and 17 to get 131.

$$\frac{131}{2}+100\times \frac{15}{100}+100\times \frac{15}{100}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{131}{2}+100\times \frac{3}{20}+100\times \frac{15}{100}$$

Express 100\times \frac{3}{20} as a single fraction.

$$\frac{131}{2}+\frac{100\times 3}{20}+100\times \frac{15}{100}$$

Multiply 100 and 3 to get 300.

$$\frac{131}{2}+\frac{300}{20}+100\times \frac{15}{100}$$

Divide 300 by 20 to get 15.

$$\frac{131}{2}+15+100\times \frac{15}{100}$$

Convert 15 to fraction \frac{30}{2}.

$$\frac{131}{2}+\frac{30}{2}+100\times \frac{15}{100}$$

Since \frac{131}{2} and \frac{30}{2} have the same denominator, add them by adding their numerators.

$$\frac{131+30}{2}+100\times \frac{15}{100}$$

Add 131 and 30 to get 161.

$$\frac{161}{2}+100\times \frac{15}{100}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{161}{2}+100\times \frac{3}{20}$$

Express 100\times \frac{3}{20} as a single fraction.

$$\frac{161}{2}+\frac{100\times 3}{20}$$

Multiply 100 and 3 to get 300.

$$\frac{161}{2}+\frac{300}{20}$$

Divide 300 by 20 to get 15.

$$\frac{161}{2}+15$$

Convert 15 to fraction \frac{30}{2}.

$$\frac{161}{2}+\frac{30}{2}$$

Since \frac{161}{2} and \frac{30}{2} have the same denominator, add them by adding their numerators.

$$\frac{161+30}{2}$$

Add 161 and 30 to get 191.

$$\frac{191}{2}$$

Factor

$$\frac{191}{2} = 95\frac{1}{2} = 95.5$$