Solve 1000div13*25-182+237div1456

$$1000 \div 13 \times 25-182+237 \div 1456$$

Evaluate

$$\frac{2535245}{1456}\approx 1741.239697802$$

Solution Steps

Express \frac{1000}{13}\times 25 as a single fraction.

$$\frac{1000\times 25}{13}-182+\frac{237}{1456}$$

Multiply 1000 and 25 to get 25000.

$$\frac{25000}{13}-182+\frac{237}{1456}$$

Convert 182 to fraction \frac{2366}{13}.

$$\frac{25000}{13}-\frac{2366}{13}+\frac{237}{1456}$$

Since \frac{25000}{13} and \frac{2366}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25000-2366}{13}+\frac{237}{1456}$$

Subtract 2366 from 25000 to get 22634.

$$\frac{22634}{13}+\frac{237}{1456}$$

Least common multiple of 13 and 1456 is 1456. Convert \frac{22634}{13} and \frac{237}{1456} to fractions with denominator 1456.

$$\frac{2535008}{1456}+\frac{237}{1456}$$

Since \frac{2535008}{1456} and \frac{237}{1456} have the same denominator, add them by adding their numerators.

$$\frac{2535008+237}{1456}$$

Add 2535008 and 237 to get 2535245.

$$\frac{2535245}{1456}$$

Factor

$$\frac{5 \cdot 507049}{2 ^ {4} \cdot 7 \cdot 13} = 1741\frac{349}{1456} = 1741.2396978021977$$