Solve 15/2(15/2-3)(15/2-4)

$$\frac{ 15 }{ 2 } ( \frac{ 15 }{ 2 } -3)( \frac{ 15 }{ 2 } -4)$$

Evaluate

$$\frac{945}{8}=118.125$$

Solution Steps

Convert 3 to fraction \frac{6}{2}.

$$\frac{15}{2}\left(\frac{15}{2}-\frac{6}{2}\right)\left(\frac{15}{2}-4\right)$$

Since \frac{15}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15}{2}\times \frac{15-6}{2}\left(\frac{15}{2}-4\right)$$

Subtract 6 from 15 to get 9.

$$\frac{15}{2}\times \frac{9}{2}\left(\frac{15}{2}-4\right)$$

Multiply \frac{15}{2} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 9}{2\times 2}\left(\frac{15}{2}-4\right)$$

Do the multiplications in the fraction \frac{15\times 9}{2\times 2}.

$$\frac{135}{4}\left(\frac{15}{2}-4\right)$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{135}{4}\left(\frac{15}{2}-\frac{8}{2}\right)$$

Since \frac{15}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{135}{4}\times \frac{15-8}{2}$$

Subtract 8 from 15 to get 7.

$$\frac{135}{4}\times \frac{7}{2}$$

Multiply \frac{135}{4} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{135\times 7}{4\times 2}$$

Do the multiplications in the fraction \frac{135\times 7}{4\times 2}.

$$\frac{945}{8}$$

Factor

$$\frac{3 ^ {3} \cdot 5 \cdot 7}{2 ^ {3}} = 118\frac{1}{8} = 118.125$$