Solve 1/2*1.5*3*(1.5^2-1.45^2)

$$\frac{ 1 }{ 2 \times 1.5 \times 3 } \times ( { 1.5 }^{ 2 } - { 1.45 }^{ 2 } )$$

Evaluate

$$\frac{59}{3600}\approx 0.016388889$$

Solution Steps

Multiply 2 and 1.5 to get 3.

$$\frac{1}{3\times 3}\left(1.5^{2}-1.45^{2}\right)$$

Multiply 3 and 3 to get 9.

$$\frac{1}{9}\left(1.5^{2}-1.45^{2}\right)$$

Calculate 1.5 to the power of 2 and get 2.25.

$$\frac{1}{9}\left(2.25-1.45^{2}\right)$$

Calculate 1.45 to the power of 2 and get 2.1025.

$$\frac{1}{9}\left(2.25-2.1025\right)$$

Subtract 2.1025 from 2.25 to get 0.1475.

$$\frac{1}{9}\times 0.1475$$

Convert decimal number 0.1475 to fraction \frac{1475}{10000}. Reduce the fraction \frac{1475}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{1}{9}\times \frac{59}{400}$$

Multiply \frac{1}{9} times \frac{59}{400} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 59}{9\times 400}$$

Do the multiplications in the fraction \frac{1\times 59}{9\times 400}.

$$\frac{59}{3600}$$

Factor

$$\frac{59}{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.01638888888888889$$