Solve 18.43*18.43-6.57*6.57/(10)25

$$\frac { 18.43 \times 18.43 - 6.57 \times 6.57 } { ( 10 ) 25 }$$

Evaluate

$$1.186$$

Solution Steps

Multiply 18.43 and 18.43 to get 339.6649.

$$\frac{339.6649-6.57\times 6.57}{10\times 25}$$

Multiply 6.57 and 6.57 to get 43.1649.

$$\frac{339.6649-43.1649}{10\times 25}$$

Subtract 43.1649 from 339.6649 to get 296.5.

$$\frac{296.5}{10\times 25}$$

Multiply 10 and 25 to get 250.

$$\frac{296.5}{250}$$

Expand \frac{296.5}{250} by multiplying both numerator and the denominator by 10.

$$\frac{2965}{2500}$$

Reduce the fraction \frac{2965}{2500} to lowest terms by extracting and canceling out 5.

$$\frac{593}{500}$$

Factor

$$\frac{593}{2 ^ {2} \cdot 5 ^ {3}} = 1\frac{93}{500} = 1.186$$