Solve (50/37-35^2/37^2)*7400

$$( \frac{ 50 }{ 37 } - \frac{ { 35 }^{ 2 } }{ { 37 }^{ 2 } } ) \times 7400$$

Evaluate

$$\frac{125000}{37}\approx 3378.378378378$$

Solution Steps

Calculate 35 to the power of 2 and get 1225.

$$\left(\frac{50}{37}-\frac{1225}{37^{2}}\right)\times 7400$$

Calculate 37 to the power of 2 and get 1369.

$$\left(\frac{50}{37}-\frac{1225}{1369}\right)\times 7400$$

Least common multiple of 37 and 1369 is 1369. Convert \frac{50}{37} and \frac{1225}{1369} to fractions with denominator 1369.

$$\left(\frac{1850}{1369}-\frac{1225}{1369}\right)\times 7400$$

Since \frac{1850}{1369} and \frac{1225}{1369} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1850-1225}{1369}\times 7400$$

Subtract 1225 from 1850 to get 625.

$$\frac{625}{1369}\times 7400$$

Express \frac{625}{1369}\times 7400 as a single fraction.

$$\frac{625\times 7400}{1369}$$

Multiply 625 and 7400 to get 4625000.

$$\frac{4625000}{1369}$$

Reduce the fraction \frac{4625000}{1369} to lowest terms by extracting and canceling out 37.

$$\frac{125000}{37}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {6}}{37} = 3378\frac{14}{37} = 3378.3783783783783$$