Solve 67*6div150+73*0.025*6+79*0.035*6+85*0.05*6+91*0.03*6+97*0.02*6

$$67 \times 6 \div 150+73 \times 0.025 \times 6+79 \times 0.035 \times 6+85 \times 0.05 \times 6+91 \times 0.03 \times 6+97 \times 0.02 \times 6$$

Evaluate

$$83.74$$

Solution Steps

Multiply 67 and 6 to get 402.

$$\frac{402}{150}+73\times 0.025\times 6+79\times 0.035\times 6+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Reduce the fraction \frac{402}{150} to lowest terms by extracting and canceling out 6.

$$\frac{67}{25}+73\times 0.025\times 6+79\times 0.035\times 6+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Multiply 73 and 0.025 to get 1.825.

$$\frac{67}{25}+1.825\times 6+79\times 0.035\times 6+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Multiply 1.825 and 6 to get 10.95.

$$\frac{67}{25}+10.95+79\times 0.035\times 6+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Convert decimal number 10.95 to fraction \frac{1095}{100}. Reduce the fraction \frac{1095}{100} to lowest terms by extracting and canceling out 5.

$$\frac{67}{25}+\frac{219}{20}+79\times 0.035\times 6+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Least common multiple of 25 and 20 is 100. Convert \frac{67}{25} and \frac{219}{20} to fractions with denominator 100.

$$\frac{268}{100}+\frac{1095}{100}+79\times 0.035\times 6+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Since \frac{268}{100} and \frac{1095}{100} have the same denominator, add them by adding their numerators.

$$\frac{268+1095}{100}+79\times 0.035\times 6+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Add 268 and 1095 to get 1363.

$$\frac{1363}{100}+79\times 0.035\times 6+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Multiply 79 and 0.035 to get 2.765.

$$\frac{1363}{100}+2.765\times 6+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Multiply 2.765 and 6 to get 16.59.

$$\frac{1363}{100}+16.59+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Convert decimal number 16.59 to fraction \frac{1659}{100}.

$$\frac{1363}{100}+\frac{1659}{100}+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Since \frac{1363}{100} and \frac{1659}{100} have the same denominator, add them by adding their numerators.

$$\frac{1363+1659}{100}+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Add 1363 and 1659 to get 3022.

$$\frac{3022}{100}+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Reduce the fraction \frac{3022}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1511}{50}+85\times 0.05\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Multiply 85 and 0.05 to get 4.25.

$$\frac{1511}{50}+4.25\times 6+91\times 0.03\times 6+97\times 0.02\times 6$$

Multiply 4.25 and 6 to get 25.5.

$$\frac{1511}{50}+25.5+91\times 0.03\times 6+97\times 0.02\times 6$$

Convert decimal number 25.5 to fraction \frac{255}{10}. Reduce the fraction \frac{255}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1511}{50}+\frac{51}{2}+91\times 0.03\times 6+97\times 0.02\times 6$$

Least common multiple of 50 and 2 is 50. Convert \frac{1511}{50} and \frac{51}{2} to fractions with denominator 50.

$$\frac{1511}{50}+\frac{1275}{50}+91\times 0.03\times 6+97\times 0.02\times 6$$

Since \frac{1511}{50} and \frac{1275}{50} have the same denominator, add them by adding their numerators.

$$\frac{1511+1275}{50}+91\times 0.03\times 6+97\times 0.02\times 6$$

Add 1511 and 1275 to get 2786.

$$\frac{2786}{50}+91\times 0.03\times 6+97\times 0.02\times 6$$

Reduce the fraction \frac{2786}{50} to lowest terms by extracting and canceling out 2.

$$\frac{1393}{25}+91\times 0.03\times 6+97\times 0.02\times 6$$

Multiply 91 and 0.03 to get 2.73.

$$\frac{1393}{25}+2.73\times 6+97\times 0.02\times 6$$

Multiply 2.73 and 6 to get 16.38.

$$\frac{1393}{25}+16.38+97\times 0.02\times 6$$

Convert decimal number 16.38 to fraction \frac{1638}{100}. Reduce the fraction \frac{1638}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1393}{25}+\frac{819}{50}+97\times 0.02\times 6$$

Least common multiple of 25 and 50 is 50. Convert \frac{1393}{25} and \frac{819}{50} to fractions with denominator 50.

$$\frac{2786}{50}+\frac{819}{50}+97\times 0.02\times 6$$

Since \frac{2786}{50} and \frac{819}{50} have the same denominator, add them by adding their numerators.

$$\frac{2786+819}{50}+97\times 0.02\times 6$$

Add 2786 and 819 to get 3605.

$$\frac{3605}{50}+97\times 0.02\times 6$$

Reduce the fraction \frac{3605}{50} to lowest terms by extracting and canceling out 5.

$$\frac{721}{10}+97\times 0.02\times 6$$

Multiply 97 and 0.02 to get 1.94.

$$\frac{721}{10}+1.94\times 6$$

Multiply 1.94 and 6 to get 11.64.

$$\frac{721}{10}+11.64$$

Convert decimal number 11.64 to fraction \frac{1164}{100}. Reduce the fraction \frac{1164}{100} to lowest terms by extracting and canceling out 4.

$$\frac{721}{10}+\frac{291}{25}$$

Least common multiple of 10 and 25 is 50. Convert \frac{721}{10} and \frac{291}{25} to fractions with denominator 50.

$$\frac{3605}{50}+\frac{582}{50}$$

Since \frac{3605}{50} and \frac{582}{50} have the same denominator, add them by adding their numerators.

$$\frac{3605+582}{50}$$

Add 3605 and 582 to get 4187.

$$\frac{4187}{50}$$

Factor

$$\frac{53 \cdot 79}{2 \cdot 5 ^ {2}} = 83\frac{37}{50} = 83.74$$