Solve 341div500*50+(70+75+15)div220*50

$$341 \div 500 \times 50+(70+75+15) \div 220 \times 50$$

Evaluate

$$\frac{7751}{110}\approx 70.463636364$$

Solution Steps

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

$$\frac{341\times 50}{500}+\frac{70+75+15}{220}\times 50$$

Multiply 341 and 50 to get 17050.

$$\frac{17050}{500}+\frac{70+75+15}{220}\times 50$$

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

$$\frac{341}{10}+\frac{70+75+15}{220}\times 50$$

Add 70 and 75 to get 145.

$$\frac{341}{10}+\frac{145+15}{220}\times 50$$

Add 145 and 15 to get 160.

$$\frac{341}{10}+\frac{160}{220}\times 50$$

Reduce the fraction \frac{160}{220} to lowest terms by extracting and canceling out 20.

$$\frac{341}{10}+\frac{8}{11}\times 50$$

Express \frac{8}{11}\times 50 as a single fraction.

$$\frac{341}{10}+\frac{8\times 50}{11}$$

Multiply 8 and 50 to get 400.

$$\frac{341}{10}+\frac{400}{11}$$

Least common multiple of 10 and 11 is 110. Convert \frac{341}{10} and \frac{400}{11} to fractions with denominator 110.

$$\frac{3751}{110}+\frac{4000}{110}$$

Since \frac{3751}{110} and \frac{4000}{110} have the same denominator, add them by adding their numerators.

$$\frac{3751+4000}{110}$$

Add 3751 and 4000 to get 7751.

$$\frac{7751}{110}$$

Factor

$$\frac{23 \cdot 337}{2 \cdot 5 \cdot 11} = 70\frac{51}{110} = 70.46363636363637$$