Solve 1/0.12*41*41-1/0.12*39^2

$$\frac{ 1 }{ 0.12 } \times 41 \times 41- \frac{ 1 }{ 0.12 } \times { 39 }^{ 2 }$$

Evaluate

$$\frac{4000}{3}\approx 1333.333333333$$

Solution Steps

Expand \frac{1}{0.12} by multiplying both numerator and the denominator by 100.

$$\frac{100}{12}\times 41\times 41-\frac{1}{0.12}\times 39^{2}$$

Reduce the fraction \frac{100}{12} to lowest terms by extracting and canceling out 4.

$$\frac{25}{3}\times 41\times 41-\frac{1}{0.12}\times 39^{2}$$

Express \frac{25}{3}\times 41 as a single fraction.

$$\frac{25\times 41}{3}\times 41-\frac{1}{0.12}\times 39^{2}$$

Multiply 25 and 41 to get 1025.

$$\frac{1025}{3}\times 41-\frac{1}{0.12}\times 39^{2}$$

Express \frac{1025}{3}\times 41 as a single fraction.

$$\frac{1025\times 41}{3}-\frac{1}{0.12}\times 39^{2}$$

Multiply 1025 and 41 to get 42025.

$$\frac{42025}{3}-\frac{1}{0.12}\times 39^{2}$$

Expand \frac{1}{0.12} by multiplying both numerator and the denominator by 100.

$$\frac{42025}{3}-\frac{100}{12}\times 39^{2}$$

Reduce the fraction \frac{100}{12} to lowest terms by extracting and canceling out 4.

$$\frac{42025}{3}-\frac{25}{3}\times 39^{2}$$

Calculate 39 to the power of 2 and get 1521.

$$\frac{42025}{3}-\frac{25}{3}\times 1521$$

Express \frac{25}{3}\times 1521 as a single fraction.

$$\frac{42025}{3}-\frac{25\times 1521}{3}$$

Multiply 25 and 1521 to get 38025.

$$\frac{42025}{3}-\frac{38025}{3}$$

Since \frac{42025}{3} and \frac{38025}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42025-38025}{3}$$

Subtract 38025 from 42025 to get 4000.

$$\frac{4000}{3}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {3}}{3} = 1333\frac{1}{3} = 1333.3333333333333$$