Solve 5d-10/3d-9*5d-15/8d-16

$$\frac { 5 d - 10 } { 3 d - 9 } \times \frac { 5 d - 15 } { 8 d - 16 }$$

Evaluate

$$\frac{25}{24}\approx 1.041666667$$

Short Solution Steps

Multiply \frac{5d-10}{3d-9} times \frac{5d-15}{8d-16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(5d-10\right)\left(5d-15\right)}{\left(3d-9\right)\left(8d-16\right)}$$

Factor the expressions that are not already factored.

$$\frac{5^{2}\left(d-3\right)\left(d-2\right)}{3\times 8\left(d-3\right)\left(d-2\right)}$$

Cancel out \left(d-3\right)\left(d-2\right) in both numerator and denominator.

$$\frac{5^{2}}{3\times 8}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{25}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$\frac{25}{24}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3} = 1\frac{1}{24} = 1.0416666666666667$$