Solve 341div500*50+(91+75+15)div220*50

$$341 \div 500 \times 50+(91+75+15) \div 220 \times 50$$

Evaluate

$$\frac{4138}{55}\approx 75.236363636$$

Solution Steps

Express \frac{341}{500}\times 50 as a single fraction.

$$\frac{341\times 50}{500}+\frac{91+75+15}{220}\times 50$$

Multiply 341 and 50 to get 17050.

$$\frac{17050}{500}+\frac{91+75+15}{220}\times 50$$

Reduce the fraction \frac{17050}{500} to lowest terms by extracting and canceling out 50.

$$\frac{341}{10}+\frac{91+75+15}{220}\times 50$$

Add 91 and 75 to get 166.

$$\frac{341}{10}+\frac{166+15}{220}\times 50$$

Add 166 and 15 to get 181.

$$\frac{341}{10}+\frac{181}{220}\times 50$$

Express \frac{181}{220}\times 50 as a single fraction.

$$\frac{341}{10}+\frac{181\times 50}{220}$$

Multiply 181 and 50 to get 9050.

$$\frac{341}{10}+\frac{9050}{220}$$

Reduce the fraction \frac{9050}{220} to lowest terms by extracting and canceling out 10.

$$\frac{341}{10}+\frac{905}{22}$$

Least common multiple of 10 and 22 is 110. Convert \frac{341}{10} and \frac{905}{22} to fractions with denominator 110.

$$\frac{3751}{110}+\frac{4525}{110}$$

Since \frac{3751}{110} and \frac{4525}{110} have the same denominator, add them by adding their numerators.

$$\frac{3751+4525}{110}$$

Add 3751 and 4525 to get 8276.

$$\frac{8276}{110}$$

Reduce the fraction \frac{8276}{110} to lowest terms by extracting and canceling out 2.

$$\frac{4138}{55}$$

Factor

$$\frac{2 \cdot 2069}{5 \cdot 11} = 75\frac{13}{55} = 75.23636363636363$$